Question

Find x, y and z, given that the numbers x, 10, y, 24, z are in A.P.​

Answer 1

Solution :

Since the given sequence is arithmetic progression,

t2 - t1 = 10 - x ---(1)

t3 - t2 = y - 10 ---(2)

t4 - t3 = 24 - y ---(3)

t5 - t4 = z - 24 ---(4)

(1) = (2)

10 - x = y - 10

x + y = 20

(2) = (3)

y - 10 = 24 - y

y + y = 24 + 10

2y = 34

y = 17