What is the 5th term of an arithmetic sequence if t3 = 10 and t7 = 26

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02-09-2016
Mathematics

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What is the 5th term of an arithmetic sequence if t3 = 10 and t7 = 26

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HomertheGenius HomertheGenius · Answer 1 · 2016-09-02T21:49:43+02:00

HomertheGenius HomertheGenius

02-09-2016

t 1 + 2 d = 10 / * ( - 1 )
t 1 + 6 d = 26
-------------------
- t 1 - 2 d = - 10
+
t 1 + 6 d = 26
---------------------
4 d = 16, d = 4
t 1 + 8 = 10
t 1 = 2
t 5 = t 1 + 4 d = 2 + 4 * 4 = 2 + 16 = 18
Answer: the 5th term of this sequence is 18.

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