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Maharashtra State BoardSSC (English Medium) 10th Standard

Decide whether the given sequence 2, 4, 6, 8,… is an A.P.

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Question

Decide whether the given sequence 2, 4, 6, 8,… is an A.P.

Sum
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Solution

Here, t1 = 2, t2 = 4, t3 = 6

∴ t2 − t1 = 4 − 2 = 2

t3 − t2 = 6 − 4 = 2

∴ t2 − t1 = t3 − t2 = ... = 2 = constant

The difference between two consecutive terms is constant.

∴ The given sequence is an A.P.

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