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The nth term of a sequence is 3n – 2. Is the sequence an A.P. ? If so, find its 10th term - Mathematics

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Sum

The nth term of a sequence is 3n – 2. Is the sequence an A.P. ? If so, find its 10th term

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Solution

We have an = 3n – 2

Clearly an is a linear expression in n. So, the given sequence is an A.P. with common difference 3.

Putting n = 10, we get

a10 = 3 × 10 – 2 = 28

Concept: Arithmetic Progression
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