Question

find the common difference of the arithmetic sequence. 9, 13, 17, 21, . . . a. 22 b. one and four ninths c. 4 d. nine thirteenths

Answer 1

It is letter c. 4 because 13-9=4, 17-13=4

Answer 2

common difference = 4

c is the correct option.

Explanation:

The given sequence is 9, 13, 17, 21, . . .

The sequence is an arithmetic sequence with first term 9.

The common difference of arithmetic sequence is equal to the difference of any two consecutive terms.

So, let us find the difference of second term and the first term.

Second term = 13

First term = 9

Hence,

common difference = Second term - First term

common difference = 13 - 9

common difference = 4

c is the correct option.