Question

There are 5 terms in an AP. The last term is 4times the first term if the middle term is 20 then find the terms of the arithmetic progression?

Answer 1

Terms = 5
Last term = 4 * first term
Middle term = a3 = 20

A3 = a + 2n = 20

a = 20 - 2n



Last term = 4 * first term
a + 4n = 4 ( a)
A + 4n = 4a
4n = 3a
N = 3a / 4


a = 20 - 2 (3a/4)
a = 20 - 3a/2
2a = 40 - 3a
a = 8

N = 3 * 8 / 4
N = 6


Terns of ap = 8, 14, 20, 26,32