Maths-
General
Easy
Question
If x is a positive integer, then
is equal to
- None of these
The correct answer is: ![2 left parenthesis x factorial right parenthesis left parenthesis x plus 1 right parenthesis factorial left parenthesis x plus 2 right parenthesis factorial](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI4AAAAQCAYAAADAkUc7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAnBJREFUeNrtWrFKA0EQ3UKCiI2IWFgIIiIWEkglQWxELPyBYCVCEAnBH7CyCRap7CwtBBEREREkhYgEQUT8gRSp0olYSAjEuTDKue7czuZ2N4fxwYPc3d7OvJnJ7d4kQnSHbWBJxEcJ53JtxxV0/veLJhbmgVWL893jnK7tuALlv+gHTVngKfAN2AQ+A9cjJk3HcKotHWeAdw7s2MIMcBdjogLlfzuBmrh5Zmu6BeaAw3g8hyJz0rg0nhcWC0egkxnLdmzhCJgn/Kb8V+lMgiZunrmalJgEvkjn9oGFmM43FeeK0rpvw45J4ca9r6jYtzQdxM62JirPXE0kPqTja+CiYtwmseHbw2thvCvGLQArlu34LBzZf5XOJGqi8szVRAZDfrQGa2OKGP8EHA8dbwAPFONeFedSOLdNOz4LR/ZfpTOJmqg8czX9wiDwATdTYbQi7lkFlvHzsqJav9BgLGE27PgsHNVjvOEgdrY1UXnmavqBEeA5cEVxraVx5Aa4hLv1UWJMPWbhcO2Eg6qji8KpO4idTU1ReeZq+sYUTjZNXI963AbYQWNRPYBazKWKa6fXS1XNQexsadLlmaupg1ngIXBI863IanoEZeL1TrfOVjzY8bk59hU7U02cPHM1dTZmJ8ABzTjqlTKo4At0JugRPDIet2EUcG7XdlwVjuy/z9iZaOLmmatJXGIl6qBqYo0BrySxa9g444rkNABN7fgsnG4bgL41cfPM1WS0yaqG1uFgHTwDTijGHePbgk4k1d6Oa8dmcy0qJiY/OfRaEzfPJprY+P+Rk+e/6BNNRtgSdv4aEKyheQ92XEHn/5/V9Al0SgfsSWIDswAAAOl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW4+MjwvbW4+PG1vPig8L21vPjxtaT54PC9taT48bW8+ITwvbW8+PG1vPik8L21vPjxtbz4oPC9tbz48bWk+eDwvbWk+PG1vPis8L21vPjxtbj4xPC9tbj48bW8+KTwvbW8+PG1vPiE8L21vPjxtbz4oPC9tbz48bWk+eDwvbWk+PG1vPis8L21vPjxtbj4yPC9tbj48bW8+KTwvbW8+PG1vPiE8L21vPjwvbWF0aD54nEUZAAAAAElFTkSuQmCC)
![capital delta equals open vertical bar table row cell x factorial end cell cell left parenthesis x plus 1 right parenthesis factorial end cell cell left parenthesis x plus 2 right parenthesis factorial end cell row cell left parenthesis x plus 1 right parenthesis factorial end cell cell left parenthesis x plus 2 right parenthesis factorial end cell cell left parenthesis x plus 3 right parenthesis factorial end cell row cell left parenthesis x plus 2 right parenthesis factorial end cell cell left parenthesis x plus 3 right parenthesis factorial end cell cell left parenthesis x plus 4 right parenthesis factorial end cell end table close vertical bar](data:image/png;base64,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)
= ![x factorial left parenthesis x plus 1 right parenthesis factorial left parenthesis x plus 2 right parenthesis factorial open vertical bar table row 1 cell left parenthesis x plus 1 right parenthesis end cell cell left parenthesis x plus 2 right parenthesis left parenthesis x plus 1 right parenthesis end cell row 1 cell left parenthesis x plus 2 right parenthesis end cell cell left parenthesis x plus 3 right parenthesis left parenthesis x plus 2 right parenthesis end cell row 1 cell left parenthesis x plus 3 right parenthesis end cell cell left parenthesis x plus 4 right parenthesis left parenthesis x plus 3 right parenthesis end cell end table close vertical bar](data:image/png;base64,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)
Applying
we get
![open vertical bar table row 0 1 cell 2 left parenthesis x plus 2 right parenthesis end cell row 0 1 cell 2 left parenthesis x plus 3 right parenthesis end cell row 1 cell left parenthesis x plus 3 right parenthesis end cell cell left parenthesis x plus 4 right parenthesis left parenthesis x plus 3 right parenthesis end cell end table close vertical bar](data:image/png;base64,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)
,(on simplification).
Trick: Put
and then match the alternate.
Related Questions to study
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, will have a non zero solution if real values of
are given by
The system of equations
, will have a non zero solution if real values of
are given by
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equal to
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and
is consistent for
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The number of solutions of the equations
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Maths-
Maths-General
Maths-
If
, then x =
If
, then x =
Maths-General
Maths-
Maths-General
Maths-
If
are three consecutive positive integers, then ![fraction numerator 1 over denominator 2 end fraction log subscript e end subscript invisible function application x plus fraction numerator 1 over denominator 2 end fraction log subscript e end subscript invisible function application z plus fraction numerator 1 over denominator 2 x z plus 1 end fraction plus fraction numerator 1 over denominator 3 end fraction open parentheses fraction numerator 1 over denominator 2 x z plus 1 end fraction close parentheses to the power of 3 end exponent plus.... equals](data:image/png;base64,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)
If
are three consecutive positive integers, then ![fraction numerator 1 over denominator 2 end fraction log subscript e end subscript invisible function application x plus fraction numerator 1 over denominator 2 end fraction log subscript e end subscript invisible function application z plus fraction numerator 1 over denominator 2 x z plus 1 end fraction plus fraction numerator 1 over denominator 3 end fraction open parentheses fraction numerator 1 over denominator 2 x z plus 1 end fraction close parentheses to the power of 3 end exponent plus.... equals](data:image/png;base64,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)
Maths-General
Maths-
The value of
is
The value of
is
Maths-General
Maths-
The sum of the products of the elements of any row of a determinant A with the same row is always equal to
The sum of the products of the elements of any row of a determinant A with the same row is always equal to
Maths-General
Maths-
is divisor of
is divisor of
Maths-General
Maths-
If
,then the value of k is
If
,then the value of k is
Maths-General
Maths-
The value of the determinant
is
The value of the determinant
is
Maths-General
Maths-
If
the value of t is
If
the value of t is
Maths-General
Maths-
If
are unequal what is the condition that the value of the following determinant is zero ![capital delta equals open vertical bar table row a cell a to the power of 2 end exponent end cell cell a to the power of 3 end exponent plus 1 end cell row b cell b to the power of 2 end exponent end cell cell b to the power of 3 end exponent plus 1 end cell row c cell c to the power of 2 end exponent end cell cell c to the power of 3 end exponent plus 1 end cell end table close vertical bar](data:image/png;base64,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)
If
are unequal what is the condition that the value of the following determinant is zero ![capital delta equals open vertical bar table row a cell a to the power of 2 end exponent end cell cell a to the power of 3 end exponent plus 1 end cell row b cell b to the power of 2 end exponent end cell cell b to the power of 3 end exponent plus 1 end cell row c cell c to the power of 2 end exponent end cell cell c to the power of 3 end exponent plus 1 end cell end table close vertical bar](data:image/png;base64,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)
Maths-General
Maths-
If – 9 is a root of the equation
then the other two roots are
If – 9 is a root of the equation
then the other two roots are
Maths-General