Question

Find the indicated terms in each of the following arithmetic progression:

a = 3, d = 2; ; t_n, t₁₀

Answer 1

Given: a = 3 , d = 2

To find: t_n and t₁₀

We have,

t_n = a + (n – 1)d

t_n = 3 + (n – 1) 2

= 3 + 2n – 2

t_n = 2n + 1

Now, n = 10

So, t₁₀ = 3 + (10 – 1)2

= 3 + 9 × 2

t₁₀ = 3 +18

t₁₀ = 21