Question
Let
then ![P to the power of 1 divided by 3 end exponent equals](data:image/png;base64,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)
Hint:
In GP Sum of infinite terms: S∞ = a / (1 - r) when |r| < 1 and the sum is NOT defined when |r| ≥ 1.
The correct answer is: ![3 to the power of 1 divided by 4 end exponent](data:image/png;base64,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)
Given : ![P equals 3 to the power of 1 divided by 3 end exponent times 9 to the power of 1 divided by 9 end exponent times 27 to the power of 1 divided by 27 end exponent horizontal ellipsis horizontal ellipsis infinity](data:image/png;base64,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)
To Find :
?
Detailed Solution
![P equals 3 to the power of 1 divided by 3 end exponent times 9 to the power of 1 divided by 9 end exponent times 27 to the power of 1 divided by 27 end exponent horizontal ellipsis horizontal ellipsis infinity
C a n space a l s o space b e space w r i t t e n space a s
P equals 3 to the power of 1 divided by 3 end exponent times 3 to the power of 2 divided by 9 end exponent times 3 to the power of 3 divided by 27 end exponent horizontal ellipsis horizontal ellipsis infinity
rightwards double arrow P space equals space 3 to the power of open parentheses 1 third space plus space 2 over 9 space plus space 3 over 27 space..... infinity space close parentheses end exponent space............... space left parenthesis space x to the power of m cross times space x to the power of n space equals space space x to the power of m space plus space n end exponent right parenthesis
L e t space S space equals space 1 third space plus space 2 over 3 squared space plus space 3 over 3 cubed space..... infinity space.............. space left parenthesis 1 right parenthesis
D i v i d i n g space b y space 3 space o n space b o t h space s i d e s
rightwards double arrow S over 3 space equals space 1 over 3 squared space plus space 2 over 3 cubed space plus space 3 over 3 to the power of 4 space.... infinity space space.................. space left parenthesis 2 right parenthesis
O n space s u b t r a c t i n g space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis comma space w e space g e t
rightwards double arrow S open parentheses 1 minus 1 third close parentheses space space equals space 1 third space plus space 1 over 3 squared space left parenthesis 2 minus 1 right parenthesis space plus space 1 over 3 cubed left parenthesis 3 minus 2 right parenthesis plus space........... space infinity space
rightwards double arrow S open parentheses 2 over 3 close parentheses space equals space 1 third plus space 1 over 3 squared plus space 1 over 3 cubed space plus space.......... infinity space
rightwards double arrow 2 S space equals 3 space left parenthesis 1 third plus space 1 over 3 squared plus space 1 over 3 cubed space plus space.......... infinity space right parenthesis
rightwards double arrow 2 S space equals 1 plus space 1 third plus space 1 over 3 squared space plus space.......... infinity space
rightwards double arrow S space equals space 1 half left parenthesis 1 plus space 1 third plus space 1 over 3 squared space plus space.......... infinity right parenthesis
T h e space a b o v e space s e r i e s space i s space i n space G P
w h e r e space a space equals space 1 space a n d space r space equals 1 third
I n space G P space S u m space o f space i n f i n i t e space t e r m s colon space S infinity space equals space a space divided by space left parenthesis 1 space minus space r right parenthesis space w h e n space vertical line r vertical line space less than space 1 space a n d space t h e space s u m space i s space N O T space d e f i n e d space w h e n space vertical line r vertical line space greater or equal than space 1.
rightwards double arrow S space equals space 1 half space open square brackets fraction numerator 1 over denominator 1 minus begin display style 1 third end style end fraction close square brackets space equals space 1 half space open square brackets fraction numerator 1 over denominator begin display style 2 over 3 end style end fraction close square brackets space equals space space 3 over 4
rightwards double arrow space P space equals space 3 to the power of 3 over 4 end exponent
N o w space P to the power of 1 third end exponent space equals space open parentheses 3 to the power of 3 over 4 end exponent close parentheses to the power of 1 third end exponent space equals space open parentheses 3 to the power of 1 fourth end exponent close parentheses](data:image/png;base64,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)
Related Questions to study
Let
be A.P and
be in H.P If
and
the ![a subscript 3 end subscript h subscript 8 end subscript equals](data:image/png;base64,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)
Let
be A.P and
be in H.P If
and
the ![a subscript 3 end subscript h subscript 8 end subscript equals](data:image/png;base64,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)
The work done by a force acting on a body is as shown in the graph. what is the total work done in covering an initial distance of 15 m?
![](data:image/png;base64,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)
The work done by a force acting on a body is as shown in the graph. what is the total work done in covering an initial distance of 15 m?
![](data:image/png;base64,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)
A 8 kg mass moves along x - axis. Its accelerations as a function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from x=0 to x=6 cm ?
![](data:image/png;base64,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)
A 8 kg mass moves along x - axis. Its accelerations as a function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from x=0 to x=6 cm ?
![](data:image/png;base64,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)
If A and G are A.M and G.M between two positive numbers a and b are connected by the relation A+G=a-b then the numbers are in the ratio
We have to be careful while solving quadratic equation questions as there are chances of mistakes with the signs while finding the roots. Sometimes the students try to use factorisation methods to solve the quadratic equation, but in this type of questions, it is not recommended at all. Always try to use the quadratic formula for solving. You can also remember the statement to be proved, given in the question as a property for two positive numbers.
If A and G are A.M and G.M between two positive numbers a and b are connected by the relation A+G=a-b then the numbers are in the ratio
We have to be careful while solving quadratic equation questions as there are chances of mistakes with the signs while finding the roots. Sometimes the students try to use factorisation methods to solve the quadratic equation, but in this type of questions, it is not recommended at all. Always try to use the quadratic formula for solving. You can also remember the statement to be proved, given in the question as a property for two positive numbers.
If
where a<1, b<1 then
If
where a<1, b<1 then
If l, m, n are the
terms of a G.P which are +ve, then ![open vertical bar table attributes columnalign left end attributes row cell l o g invisible function application l end cell p 1 row cell l o g invisible function application m end cell q 1 row cell l o g invisible function application n end cell r 1 end table close vertical bar equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG4AAABGCAYAAAAtpKGgAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAo9ZE6ZAAABBtJREFUeNrtXFGEVFEYvsYaayTWylgjkSTpYUjSQ1YkGcnal+xT1pKekhXJWquHXkZ6WOklWelhGdmn7NtaSXrpYfWQLEmSZFkrIysx/b/7X27XPTP3zJw5995zv4/v4R53/nPu/eb855x7PsfzfHQ8wAY6mQ8IQDgIB+EgHJAz4X4TSxYe0FY9g+I4cZG4lWXhjhE/WHgZtuoxgRfEGxqCpCLcFHHVwsuwVU8aGSsV4ZaIdyNlh4jPiG3iPvE5cTTmtxVik7gj970kPo6Jp6rHFDj2AvE+8Ye0ZZM44bJwLekNAcYkpc3KeHRQekoz8rsR4msRY0Q4T/wbiaeqxyQ49mdpy5i0+5GBHp5p4baJtdB1UwQI46jcFwYP3g8U8SYS1GMSHPtkpIz/cL9cFa4kM73w9U5MWuTrvUgZp6TxmHjtBPWYhCr2qMvCnZWxIMBp4huD9/UqNwFV7HPEDVeFmyGuhK6vyngRxe1IWpyWKXOveL3KTUAVe17SuZPCLct6JcBl4npMKvpIPBEReFWx/plLUI9JLMtEKoyyTLCcnVWuERuRmeJ34hW5rsk9CzED/09iXa7rshTg304mqMck1mRycjHS5lmX13G7MROR89LD/hA/dXkB3Ou+yn3viZdkYlNKWI8p7MoyY1uWIlsGlh2dGGZuOWAKp1L4MlIW4fLyhSV14Xi8exIaQ84Q30bGQRtoSFqEcAlxQCYFbVlDrUuPs43r0g4IB0A4CAfhIBwA4QAIB+EgHIQDIByEG17AvPgdbQG+ypwCvsqCpEBnfZVBHVXP/yjMm7BsNgo2V9lSx3Y63qJhg8+9Pp41+PC95/X2eNoSrpOAfVdsw1fZEvF4w3VG7j1C/OL5W0Mc55qUH5YXX9V4wdzOzUibl+T5p1ztcTZ8lVy2IX+KMNjq8FRRruMXWVT0rEG9nIX2VQZ1VDTLdfBNUuWgcXKTKm34KnW9lroezLqk2kHj5KrH2fBV6notdT2Yuh5PJ4Sz4atUeSp1y7stZ1pd1mJOCmfDV6nyVOqWq1CRP1Y9lMZfSVsargpnw1ep8lTqlndDVQTnZcQ74gVvMC8nfJUpoRwzC87CF5bUhcuKr1IF235L+CoNwbbfEvtxOQWEg3AQDsIBEA7CQTgIB0A4CAfhIFwiwFf5P+CrzCngqyxICnTaV3nH8/fNViQ1837ZLUPPGTzDTc/fG9z3zJyNWfjzKlsiEos2KXFr8oIrBp6T4/OO90PPtxIWosfZ8lXG+T+4140beE6OP12kVGnLVxl3huWIZ+YMy2GehVno8yq7nSdp4gzLYZ6FCV9lwnv7wTDPwiy8r1J1huWcgWc0FSdXwmXRV6mLYZ6FCV9lwrr7wTDOwoSvEl9YsiVc1n2VEE6BrPsqIRwA4SBcAvwDEQcU0KBixjEAAAINdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mZW5jZWQgY2xvc2U9InwiIG9wZW49InwiIHNlcGFyYXRvcnM9InwiPjxtdGFibGUgY29sdW1uYWxpZ249ImxlZnQiPjxtdHI+PG10ZD48bWk+bDwvbWk+PG1pPm88L21pPjxtaT5nPC9taT48bW8+JiN4MjA2MTs8L21vPjxtaT5sPC9taT48L210ZD48bXRkPjxtaT5wPC9taT48L210ZD48bXRkPjxtbj4xPC9tbj48L210ZD48L210cj48bXRyPjxtdGQ+PG1pPmw8L21pPjxtaT5vPC9taT48bWk+ZzwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bWk+bTwvbWk+PC9tdGQ+PG10ZD48bWk+cTwvbWk+PC9tdGQ+PG10ZD48bW4+MTwvbW4+PC9tdGQ+PC9tdHI+PG10cj48bXRkPjxtaT5sPC9taT48bWk+bzwvbWk+PG1pPmc8L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1pPm48L21pPjwvbXRkPjxtdGQ+PG1pPnI8L21pPjwvbXRkPjxtdGQ+PG1uPjE8L21uPjwvbXRkPjwvbXRyPjwvbXRhYmxlPjwvbWZlbmNlZD48bW8+PTwvbW8+PC9tYXRoPumm9zIAAAAASUVORK5CYII=)
If l, m, n are the
terms of a G.P which are +ve, then ![open vertical bar table attributes columnalign left end attributes row cell l o g invisible function application l end cell p 1 row cell l o g invisible function application m end cell q 1 row cell l o g invisible function application n end cell r 1 end table close vertical bar equals](data:image/png;base64,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)
The relationship between force and position is shown in the figure given (in one dimensional case) calculate the work done by the force in displacing a body from x=0 cm to x=5 cm
![](data:image/png;base64,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)
The relationship between force and position is shown in the figure given (in one dimensional case) calculate the work done by the force in displacing a body from x=0 cm to x=5 cm
![](data:image/png;base64,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)
Fifth term of G.P is 2 The product of its first nine terms is
Here note that the fifth term is having fourth power of 2 and not fifth power. We need not to find all nine terms separately; only finding the product is enough because that product will then be written in the form of the term that is known. Terms in a G.P. are having a common ratio in between. That’s why the power of r is increasing as the terms are increasing.
Fifth term of G.P is 2 The product of its first nine terms is
Here note that the fifth term is having fourth power of 2 and not fifth power. We need not to find all nine terms separately; only finding the product is enough because that product will then be written in the form of the term that is known. Terms in a G.P. are having a common ratio in between. That’s why the power of r is increasing as the terms are increasing.