SOLUTION: Rewrite the following series in summation notation 7 + 12 + 17 + 22 + 27 + 32

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Question 850717: Rewrite the following series in summation notation
7 + 12 + 17 + 22 + 27 + 32


Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
7 + 12 + 17 + 22 + 27 + 32

We find the nth term of the arithmetic sequence 7,12,17,22,27,32

a%5Bn%5D=a%5B1%5D%2B%28n-1%29d

In the above series a%5B1%5D=7 and d=12-7=17-12=22-17=27-22=32-27=5

a%5Bn%5D=a%5B1%5D%2B%28n-1%29d
 
a%5Bn%5D=7%2B%28n-1%29%285%29

a%5Bn%5D=7%2B5%28n-1%29

a%5Bn%5D=7%2B5n-5%29

a%5Bn%5D=2%2B5n

sum%28%282%2B5n%29%2Cn=1%2C6%29

Edwin