Question

Write the mth term of the A.P. 1

k

,

1 + k

k

,

1 + 2k

k

, ….. .

Answer 1

Answer:

mth term will be  1+(m-1)kk.

Step-by-step explanation:

Given A.P series 1k , 1 + kk , 1 + 2kk , ….. .

We have to find the mth term of given series.

We know that the formula for nth term of an A.P. with first term a and common difference d is a + (n-1)d.

The given A.P. is 1k, 1+kk, 1+2kk, . .

First term = 1k

Second term = 1+kk = 1+(2-1)kk,

Third term = 1+2kk = 1+(3-1)kk, . . .

∴ mth term will be  1+(m-1)kk.

Hence, mth term is  1+(m-1)kk.