Question

(i) find x, y and, given that the numbers x, 10y, 24,z are in AP​

Answer 1

Answer:

x = 3  y = 17  z =31

Step-by-step explanation:

A.P = x, 10, y, 24, z,…  d = t2 – t1 = 10 – x … (1)  = t3 – t2 = y – 10 … (2)  = t4 – t3 = 24 – y … (3)  = t5 – t4 = z – 24 … (4)  (2) and (3)  ⇒ y – 10 = 24 – y  2y = 24 + 10 = 34  y = 43/2 = 17  (1) and (2)  ⇒ 10 – x = y – 10  10 – x = 17 – 10 = 7  -x = 7 – 10 -x = -3 ⇒ x = 3  From (3) and (4)  24 – y = z – 24  24 – 17 = z – 24  7 = z – 24  ∴ z = 7 + 24 = 31