Question

find the common difference of the arithmetic sequence. 4, 10, 16, 22, . . . a. two and one half b. two fifths c. 6 d. 14

Answer 1

c.  6 (10-4=6, 16-10=6)

Answer 2

Answer: The correct option is (c). 6.

Step-by-step explanation: we are given to find the common difference of the following arithmetic sequence:

`4,~~10,~~16,~~22,~~.~~.~~.`

In an Arithmetic sequence, the common difference is equal to the difference between two consecutive terms of the sequence.

In the given arithmetic sequence, we have

`10-4=16-10=22-16=~~.~~.~~.~~=6.`

So, the common difference of the given arithmetic sequence is 6.

Thus, (c) is the correct option.