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| Math Central | Quandaries & Queries |
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Question from JP, a student: Find the first five terms of a sequence with the nth term n^2+2n+1 and 2^n. Thank You! |
JP,
I am going to consider the sequence given by 3n2 + n - 1 for n = 1, 2, ...
To find the individual terms you substitute values for n.
Term n value First 1 3 × 12 + 1 - 1 = 3 Second 2 3 × 22 + 2 - 1 = 13 Third 3 3 × 32 + 3 - 1 = 29 Fourth 4 3 × 42 + 4 - 1 = 51 Fifth 5 3 × 52 + 5 - 1 = 79
Thus the first 5 terms are 3, 13, 29, 51 and 79.
Penny
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