THE Nth TERM 2

Find the general term of an A. P. which has the 1st term of -62 and common difference of 17.

Solution

A₁ = -62, d= 17, n = n.

A_n = A₁ + (n-1)d

     = -62 + (n-1)17

     = -62 +  17n-17

     = 17n -17-62

     = 17n- 79       [ since -17-62= -79 ]

∴  A_n = 17n- 79

Hence the general term is 17n- 79.

TRY THIS…………………………..

Find the general term of an A. P. which has the 1st term of 60 and common difference of 33.