Question

The following lists of numbers form an A.P.? If they form an A.P., find the common difference d and write the next three terms.

3, 10, 17, 24,...

Answer 1

Calculate the differences between consecutive terms:

10 − 3 = 7

17 − 10 = 7

24 − 17 = 7

Because each consecutive difference is the same, the sequence is an arithmetic progression (A.P.) with common difference d = 7.

To get the next terms, keep adding d:

a₅ = 24 + 7

= 31

a₆ = 31 + 7

= 38

a₇ = 38 + 7

= 45

So d = 7 and the next three terms are 31, 38, 45.