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45 votes
45 votes
Find the next 3 terms of the arithmetic sequence 5, 9, 13, 17

User Georgi Stoimenov
by
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1 Answer

18 votes
18 votes

You have the following arithmetic sequence:

5, 9, 13, 17

due to the it is an arithmetic sequence, difference between consecutive numbers is constant.

In fact, when you calculate the difference between consecutive numbers you have:

9 - 5 = 4

13 - 9 = 4

17 - 13 = 4

To determine the next three terms it is necessary to sum 4 (the previous result) to each previous term, just as follow:

17 + 4 = 21

21 + 4 = 25

25 + 4 = 29

Hence, 21, 25 and 29 are the next three terms

User Ananta
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