SOLUTION: Find the 14th term of the sequence 8,15,22,29 Insert three arithmetic means between 6 and 18 Find the 5th term in the geometric sequence

Algebra ->  Sequences-and-series -> SOLUTION: Find the 14th term of the sequence 8,15,22,29 Insert three arithmetic means between 6 and 18 Find the 5th term in the geometric sequence       Log On


   

Question 460755: Find the 14th term of the sequence 8,15,22,29
Insert three arithmetic means between 6 and 18
Find the 5th term in the geometric sequence
Answer by robertb(5830) About Me  (Show Source):
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a%5B1%5D+=+8 and d = 7 ==> a%5B14%5D+=+a%5B1%5D+%2B+%28n-1%29d+=+8+%2B+13%2A7+=+99
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a%5B1%5D+=+6 and a%5B5%5D+=+18 and n = 5.
==> a%5B5%5D+=+a%5B1%5D+%2B+4%2Ad+=+6+%2B+4d+=+18 ==> 4d = 12 ==> d = 3.
The arithmetic means are 9, 12, and 15.