Question

If 5, b, c, 14 are the consecutive terms of an A.P., then b+c=​

Answer 1

Given:

5, b, c, 14 are the consecutive terms of an A.P

To find:

The value of b + c.

Solution:

From given, we have,

5, b, c, 14 are the consecutive terms of an A.P

The common difference in the case of A.P is given as follows:

n2 - n1 = d = n4 - n3

So, we have,

b - 5 = 14 - c

Rearrange the terms to find the sum of b + c. So, we get

b + c = 14 + 5

b + c = 19

Therefore the value of b + c = 19