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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