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The indicated terms in each of the following arithmetic progression:

$a = 3, d = 2; t_{n}, t_{10}$

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answer is B.

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Detailed Solution

Given,

a = 3, d = 2

We know the

n^{th}

term formula in A.P. is,

t n = a 1 + n − 1 d .

Where,
The first term is a.
The common difference is d.
The number of terms are n.
Now,

t n = 3 + n − 1 2 ⇒ t n = 3 + 2 n − 2 ⇒ t n = 2 n + 1

Also,

t 10 = 3 + 10 − 1 2 ⇒ t 10 = 3 + 92 ⇒ t 10 = 21

The indicated term is

t n = 2 n + 1

and

t 10 = 21

.
Hence, option 2 is correct.

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