SOLUTION: Suspose that we have an arthmetic sequence. Suppose that we know that the first term is three and the 52nd term is 142. Find the common difference. FInd the 89th term. Write your

Algebra ->  Equations -> SOLUTION: Suspose that we have an arthmetic sequence. Suppose that we know that the first term is three and the 52nd term is 142. Find the common difference. FInd the 89th term. Write your      Log On


   

Question 369787: Suspose that we have an arthmetic sequence. Suppose that we know that the first term is three and the 52nd term is 142.
Find the common difference.
FInd the 89th term. Write your answer as a mixed number
Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
in an arithmetic sequence, means that each term changes by a constant amount, delta
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The nth term is defined as a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Adelta
from this formula delta=%28a%5Bn%5D-a%5B1%5D%29%2F%28n-1%29
==
So if a%5B1%5D=3 and a%5B52%5D=142 then delta=%28142-3%29%2F%2852-1%29=139%2F51
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a%5B89%5D=3%2B%2889-1%29%2A139%2F51=3%2B88%2A139%2F51