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Maths-

General

Easy

Question

Tell whether the given sequence is an arithmetic sequence. 15,13,11,9,....

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: ⇒-2

Explanation:

We have given a sequence 15,13,11,9,...

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

Step 1 of 1:
We have given sequence 15,13,11,9,...
The difference in first two terms is
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 13 minus 15 end cell row cell not stretchy rightwards double arrow negative 2 end cell end table$
Now the difference in next two terms is
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 11 minus 13 end cell row cell not stretchy rightwards double arrow negative 2 end cell end table$
Since the difference is constant
The given sequence is arithmetic sequence.

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