Question

Is this sequence an arithmetic sequence? $6,3,0,-3,-6,..$

• A. Yes
• B. No
• C. Not a sequence

Answer 1

The correct option is A Yes

$\underset{–}{ConceptInvolved:}$

When the successive term in a numerical pattern is formed by adding a fixed constant value to the previous term, the sequence obtained is an arithmetic sequence.

$\underset{–}{Method:}$
Here each successive term is obtained by subtracting $3$ from the previous term.

$3=6-3$
$0=3-3$
$-3=0-3$
$-6=-3-3$

In this sequence, Next term = Previous term + Fixed Constant(i.e. $-3$).
This is an arithmetic sequence.