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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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प्रश्न

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

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

योग

उत्तर

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.

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अध्याय 3: Arithmetic Progression - Q.2 (B)
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