SOLUTION: For the following arithmetic sequence, find the sum of the terms from a13 to a21 inclusive. 7,10,13,16 The sum of the terms from a13 to a21 inclusive is:

Algebra ->  Sequences-and-series -> SOLUTION: For the following arithmetic sequence, find the sum of the terms from a13 to a21 inclusive. 7,10,13,16 The sum of the terms from a13 to a21 inclusive is:       Log On


   



Question 1037724: For the following arithmetic sequence, find the sum of the terms from a13
to a21 inclusive.
7,10,13,16
The sum of the terms from a13 to a21 inclusive is:

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the first n terms

S%5Bn%5D=expr%28n%2F2%29%282a%5B1%5D%2B%28n-1%29d%29

Where a1 = first term = 7
and d = common difference = a2-a1 = 10-7 = 3 = a3-a2 = 
13-10 = 3 = a4-a3 = 16-13 = 3

S%5Bn%5D=expr%28n%2F2%29%282a%5B1%5D%2B%28n-1%29d%29

 %22%22=%22%22 %22%22-%22%22%22%22=%22%22

S%5B21%5D%22%22-%22%22S%5B12%5D%29%22%22=%22%22

expr%2821%2F2%29%282%287%29%2B%2821-1%293%29%22%22-%22%22expr%2812%2F2%29%282%287%29%2B%2812-1%293%29 %22%22=%22%22

expr%2821%2F2%29%2814%2B%2820%293%29%22%22-%22%226%2814%2B%2811%293%29 %22%22=%22%22

expr%2821%2F2%29%2814%2B60%29%22%22-%22%226%2814%2B33%29 %22%22=%22%22

expr%2821%2F2%29%2874%29%22%22-%22%226%2847%29 %22%22=%22%22

777%22%22-%22%22282 %22%22=%22%22

495 

Edwin