SOLUTION: The thirteen term of an arithmetic progression is136,the first term is 5times the constant difference,determine the 16 term.my email is ntsoanethandillon@live.com

Algebra ->  Sequences-and-series -> SOLUTION: The thirteen term of an arithmetic progression is136,the first term is 5times the constant difference,determine the 16 term.my email is ntsoanethandillon@live.com      Log On


   

Question 949937: The thirteen term of an arithmetic progression is136,the first term is 5times the constant difference,determine the 16 term.my email is ntsoanethandillon@live.com
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28a%5B13%5D=136=a%5B1%5D%2B%2813-1%29d%2C+a%5B1%5D=5d%29

5d%2B12d=136

17d=136

17d%2F17=136%2F17

d=8


Let n be the index of the sequence.
General Term Now 5d%2B%28n-1%29%2A8
5%2A8%2B%28n-1%29%2A8
highlight%2840%2B8%28n-1%29%29------general term

Let n=16 to answer your question.