Maths-
General
Easy
Question
Tell whether the given sequence is an arithmetic sequence. 93,86,79,72,66,...
Hint:
- A sequence is said to be arithmetic if the common difference is always constant.
- The General formula of any AP is
.
The correct answer is: ⇒-7
Explanation:
- We have given a sequence 93,86,79,72,66,....
- We have to find weather the given sequence is AP or not.
Step 1 of 1:
We have given sequence 93,86,79,72,66,....
The difference in first two terms is
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 86 minus 93 end cell row cell not stretchy rightwards double arrow negative 13 end cell end table](data:image/png;base64,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)
Now the difference in next two terms is
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 79 minus 86 end cell row cell not stretchy rightwards double arrow negative 13 end cell end table](data:image/png;base64,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)
Then, The difference between next two terms will be
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 72 minus 79 end cell row cell not stretchy rightwards double arrow negative 7 end cell end table](data:image/png;base64,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)
Since the difference is not constant
The given sequence is not an arithmetic sequence.
Now the difference in next two terms is
Then, The difference between next two terms will be
Since the difference is not constant
The given sequence is not an arithmetic sequence.
Related Questions to study
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals 2 x plus 6 space straight & space y equals 1 half x plus 3](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![y equals 2 x plus 6 space straight & space y equals 1 half x plus 3](data:image/png;base64,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)
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 37,3,31,29,26,23,...
Tell whether the given sequence is an arithmetic sequence. 37,3,31,29,26,23,...
Maths-General
Maths-
What are the horizontal asymptotes for the graph
![f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction](data:image/png;base64,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)
What are the horizontal asymptotes for the graph
![f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 3,6,9,15,18,...
Tell whether the given sequence is an arithmetic sequence. 3,6,9,15,18,...
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 3,6,9,12,15,18,...
Tell whether the given sequence is an arithmetic sequence. 3,6,9,12,15,18,...
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 1,-2,3,-4,5,...
Tell whether the given sequence is an arithmetic sequence. 1,-2,3,-4,5,...
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 77,64,51,38,25,...
Tell whether the given sequence is an arithmetic sequence. 77,64,51,38,25,...
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 1,15,29,43,57,....
Tell whether the given sequence is an arithmetic sequence. 1,15,29,43,57,....
Maths-General
Maths-
Write a recursive formula for the given sequence. 47, 39, 31, 23, 15, ....
Write a recursive formula for the given sequence. 47, 39, 31, 23, 15, ....
Maths-General
Maths-
Write a recursive formula for the given sequence. 81,85,89,93,97,....
Write a recursive formula for the given sequence. 81,85,89,93,97,....
Maths-General
Maths-
Write a recursive formula for the given sequence. 81,85,89,93,97,....
Write a recursive formula for the given sequence. 81,85,89,93,97,....
Maths-General
Maths-
How do you find vertical and horizontal asymptotes of a rational function?
What are the vertical asymptotes for the graph of ![f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction](data:image/png;base64,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)
How do you find vertical and horizontal asymptotes of a rational function?
What are the vertical asymptotes for the graph of ![f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 15,13,11,9,....
Tell whether the given sequence is an arithmetic sequence. 15,13,11,9,....
Maths-General
Maths-
Write an explicit formula for the arithmetic sequence.
an = 12 - 5n
Write an explicit formula for the arithmetic sequence.
an = 12 - 5n
Maths-General
Maths-
Write an explicit formula for the arithmetic sequence.
an = 8 + 3n
Write an explicit formula for the arithmetic sequence.
an = 8 + 3n
Maths-General