# In the arithmetic sequence -7, -4, -1, 2, ... , what term is 44 ?

2
by Popmars

2015-06-05T22:43:56+08:00

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We have -7 as the 1st term, we have 3 as the common difference so:

2015-06-06T01:39:42+08:00

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
The formula for the arithmetic sequence is:

To find the common difference:
-7, -4
The common difference is 3, so:

To find what term is 44:

Add 7 to both sides
51=3(n-1)
Distribute
51=3n-3
Add both sides by 3
3n=54
Divide both sides by 3
n=18

Therefore, 44 is the 18th term. Hope this helps =)