# SOLUTION: Find the 100th term of a certain arithmetic sequence, given that the 7th term is 16 and the 61st term is 232.

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 Algebra: Sequences of numbers, series and how to sum them Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Sequences-and-series Question 46737: Find the 100th term of a certain arithmetic sequence, given that the 7th term is 16 and the 61st term is 232.Answer by adamchapman(301)   (Show Source): You can put this solution on YOUR website!You can find the value of the nth term in an arithmetic sequence using the formula Where is the nth term, a = the value of the first term, d = the difference between two consecutive terms. Let's look at the 7th term: .............1 Mow the 61st term: ...........2 Solve equations (1) and (2) to find a and d. Multiply equation (1) by 10: .............3 subtract (2) from (3): ................4 Now plug a=-8 into equation 1: Now we know a and d, we can use the formaula to find the 100th term. I hope this helps, Adam P.S. please visit my website, it may be helpful to you. The address is www.geocities.com/quibowibbler