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Decide whether the following sequence is an A.P. or not. 3, 5, 7, 9, 11 ........ - Algebra

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Sum

Decide whether the following sequence is an A.P. or not.

3, 5, 7, 9, 11 ........

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Solution

The given sequence is 3, 5, 7, 9, 11 ........

Here, t1 = 3, t2 = 5, t3 = 7, t4 = 9

∴ t2 – t1 = 5 – 3 = 2

t3 – t2 = 7 – 5 = 2

t4 – t3 = 9 – 7 = 2

∴ t2 – t1 = t3 – t2 = 2 = d = constant

The difference between two consecutive terms is constant.

∴ The given sequence is an A.P.

Concept: Terms in a sequence
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