Question

Given the following sequence determine if it is arithmetic progression or not. If it is an Arithmetic Progression, find general term.
5, 2, -2, -6, -11, ..........

• A. $7n-12$
• B. $7n-18$
• C. $6n-12$
• D. Not an A.P.

Answer 1

The correct option is D Not an A.P.

We have,
2-5=-3
-2-2=-4
-6-(-2)=-4
This shows that the difference of a term and the preceding term is not always same. Hence, the given sequence is not an AP.