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The difference between the nth term and ...

The difference between the nth term and `(n-1)th` term of a sequence is independent of n. Then the sequence follows which one of the following?

A

AP

B

GP

C

HP

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
If the sequence is in AP with first term, and common difference, d.
`implies" "T_(n)=a+(n-1)d`
Also `T_(n-1)=a+(n-2)d`
So, the sequence is in AP for which difference between the nth term and `(n-1)th` term is independent of n.
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