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Maths-

General

Easy

Question

Tell whether the given sequence is an arithmetic sequence. 93,86,79,72,66,...

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: ⇒-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
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 86 minus 93 end cell row cell not stretchy rightwards double arrow negative 13 end cell end table$
Now the difference in next two terms is
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 79 minus 86 end cell row cell not stretchy rightwards double arrow negative 13 end cell end table$
Then, The difference between next two terms will be
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 72 minus 79 end cell row cell not stretchy rightwards double arrow negative 7 end cell end table$
Since the difference is not constant
The given sequence is not an arithmetic sequence.

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