Four numbers are inserted between the numbers 4 and 39 such that an A.

1.	Four numbers are inserted between the numbers 4 and 39 such that an A.P. results. Find the biggest of these four numbers.(A) 33(B) 31(C) 32(D) 30
Answer» The correct option is: (C) 32 Explanation: Series after the insertion of terms between 4 and 39 is 4, a₁, a₂, a₃, a₄, 39. Now, 39 = 4 + 5d => 35 = 5d => d =7 . ^.. a₄ = 4 + 4 x 7 = 32

Four numbers are inserted between the numbers 4 and 39 such that an A.P. results. Find the biggest of these four numbers.(A) 33(B) 31(C) 32(D) 30

Answer»

The correct option is: (C) 32

Explanation:

Series after the insertion of terms between 4 and 39 is 4, a₁, a₂, a₃, a₄, 39.

Now, 39 = 4 + 5d => 35 = 5d => d =7

. ^.. a₄ = 4 + 4 x 7 = 32