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If the first term of an AP is a and its common difference is d then the nth term is given by Tn = a + (n – 1)d(a) True(b) FalseThis question was addressed to me in my homework.I want to ask this question from Arithmetic Progression Basics in chapter Arithmetic Progressions of Mathematics – Class 10

Answer» RIGHT option is (a) True

Easiest explanation: In the given AP we have, FIRST term as a and COMMON difference as d.

So, the given AP may be written as a, a + d, a + 2d, a + 3d, …

In this AP, we have,

First term = a = a + (1 – 1)d

Second term = a = a + (2 – 1)d

Third term = a = a + (3 – 1)d

And so, on

Hence, the n^th term of the AP will be a + (n – 1)d.


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