SOLUTION: The first term of an arithmetic sequence is 5. The ratio of the sum of the first four terms to the sum of the first ten terms is 8:35. Find the common difference.

Question 1146198: The first term of an arithmetic sequence is 5. The ratio of the sum of the first four terms to the sum of the first ten terms is 8:35. Find the common difference.
Answer by Edwin McCravy(20077) (Show Source): You can put this solution on YOUR website!
<--sum of first n terms.
The first term of an arithmetic sequence is 5.

The ratio of the sum of the first four terms to the sum of the first ten terms is 8:35.

 

Sum of first four terms: 
                         
                         

Sum of first ten terms: 
                         
                         

Their ratio 




You solve that for d. Begin by cross-multiplying.

Edwin

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