SOLUTION: 5, 14, 30 form a pattern. Determine the fifth term.

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Question 902565: 5, 14, 30 form a pattern. Determine the fifth term.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This is only one of many possible patterns; but 5 to 14 is addition of 9=3%5E2, and 14 to 30 is addition of 16=4%5E2. The pattern can be for any term n, the n+1 term to add %28n%2B2%29%5E2.

5, n=1
5%2B%281%2B2%29%5E2=5%2B9=14.
14%2B%282%2B2%29%5E2=30.
30%2B%283%2B2%29%5E2=30%2B25=55.
55%2B%284%2B2%29%5E2=55%2B36=91.