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Maths-

General

Easy

Question

Tell whether the given sequence is an arithmetic sequence. 1,15,29,43,57,....

hint Hint:

A sequence is said to be arithmetic if the common difference is always constant.

The General formula of any AP is $a subscript n equals a subscript 1 plus left parenthesis n minus 1 right parenthesis d$ .

The correct answer is: ⇒14

Explanation:

We have given a sequence 1,15,29,43,57,...

We have to find weather the given sequence is AP or not.

Step 1 of 1:
We have given sequence 1,15,29,43,57,...
The difference in first two terms is
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 15 minus 1 end cell row cell not stretchy rightwards double arrow 14 end cell end table$
Now the difference in next two terms is
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 29 minus 15 end cell row cell not stretchy rightwards double arrow 14 end cell end table$
Then, The difference between next two terms will be
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 43 minus 29 end cell row cell not stretchy rightwards double arrow 14 end cell end table$
Since the difference is constant
The given sequence is an arithmetic sequence.

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