Question

Write an arithmetic sequence that has a common difference of -3 and whosefourth term is 17. *Your answer

Answer 1

Answer

The terms are

3, 7, 11, 15, 19. 23, 27, 31, 35

Explanation

Arithmetic sequences usually have a common difference which is the value of the difference between consecutive terms.

Common difference

= (Second term) - (First term)

= (Third term) - (Second term)

= (Fourth term) - (Third term)

etc.

So, for this question, we can easily see that the common difference is 4

Common difference = 7 - 3 = 11 - 7 = 15 - 11 = 4

So, the next terms can easily be obtained by adding 4 to the numbers, from 15.

The terms are

3, 7, 11, 15, 19. 23, 27, 31, 35

Hope this Helps!!!