Question

First term of arithmetic progression is 3 and 10 th term is 21 find 15 th and 22nd terms

Answer 1

hey mate .hope this will help u.
thanku

Answer 2

Given,

The first term of A.P is 3.

The 10th term of A.P is 21.

To Find,

The 15th and 22nd term of A.P.

Solution,

Since, the first term of A.P is given

a = 3

a₁₀ = a+9d = 21

21 = 3+9d

18 = 9d

d = 2

Now,

a₁₅ = a+14d = 3+14(2) = 3+28 = 31

a₂₂ = a+21d = 3+21(2) = 3+42 = 45

Hence, the 15th term of A.P is 31 and 22nd term is 45.