Question

The 54th term of an ap is -61 and its 4th term is 64 find its 23rd term

Answer 1

Answer:

Let the 54th term = a+53d= -61

and 4th term= a+3d= 64

a+53d= -61

a+3d= 64

Using elimination method

50d= -125

d= -5/2

Now put the value of d in any of the equation you get the value of a.

a= 143

Now, you need to find the 23rd term

I.e

a+22d= 143+22(-5/2)

143-55

88

Hence, the 23rd term of this A.P. is 88