SOLUTION: 5,17,37,---,101 ? a. 35 b. 45 c. 55 d.65 e.75

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Question 978310: 5,17,37,---,101 ?
a. 35
b. 45
c. 55
d.65
e.75
Answer by Edwin McCravy(20063)   (Show Source): You can put this solution on YOUR website!
5,17,37,---,101
  5 =   4+1 =  2²+1 = 1st even natural number squared plus 1.
 17 =  16+1 =  4²+1 = 2nd even natural number squared plus 1.
 37 =  36+1 =  6²+1 = 3rd even natural number squared plus 1.
  ↏ =   ↏+1 =  ↏²+1 = ↏th even natural number squared plus 1.
101 = 100+1 = 10²+1 = 5th even natural number squared plus 1.

I'll bet you can fill in the boxes yourself.

Edwin
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