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# Sequences and series

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help

May 20, 2021

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first let's find the 50th term.

the "zeroth" term would be 16 - 3 = 13, meaning the 50th term would be 3(50) + 13 = 163.

$$S_n = \frac{n(a_1 + a_n)}{2}$$ where $$a_1$$ is the first term and $$a_n$$ is the last term of the sum you're finding.

$$S_{50} = \frac{50(16 + 163)}{2}$$

$$S_{50} = 25(179)$$

$$S_{50} = 4475$$

tell me if I did anything wrong :)

May 20, 2021