Question

If 30, b, 50, care A.P., find the values of b and C.

A) b = 40, C = 60
B) b = 35, C = 45
C) b = 37, C = 57
D) b = 42, C = 62

Answer 1

In an arithmetic progression (AP), the difference between any two consecutive terms is constant. Given the terms 30, b, 50, we can find the common difference by subtracting the first term from the second term and the second term from the third term. By solving these equations, we find that b = 40 and C = 60.

Step-by-step explanation:

In an arithmetic progression (AP), the difference between any two consecutive terms is constant.

Given the terms 30, b, 50, we can find the common difference by subtracting the first term from the second term and the second term from the third term. The difference should be the same in both cases.

b - 30 = 20

50 - b = 20

By solving these equations, we find that b = 40 and C = 60. Therefore, the correct option is A) b = 40, C = 60.