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State Whether the Following Sequence is an A.P. Or Not? 1, 4, 7, 10, …… - Algebra

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State whether the following sequence is an A.P. or not?

1, 4, 7, 10, ………………..

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Solution

1, 4, 7, 10, ……
Let ‘d’ be the common difference, ‘a’ be the common ratio, and t2 , t3, t4 be the 2nd, 3rd
and 4th term respectively.
Here t2 = 4, t3 = 7, t4 = 10
d = 4 – 1 = 3
a = 1
We know t2 – a = t3 − t2 = 3
Since the common difference is same throughout the series, therefore the series is an
A.P.

Concept: Arithmetic Progression
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