The sum of the first $n$ terms of a sequence is given by $S_n = n^2 + 3n$. Find the tenth term.

Question

Accepted Answer

$22$. The $n$th term is $S_n - S_{n-1}$. $S_{10} = 100 + 30 = 130$ and $S_9 = 81 + 27 = 108$, so the tenth term is $130 - 108 = 22$. Reporting $S_{10}$ itself as the tenth term gives 130.

Answer

A) $20$

Answer

B) $22$

Answer

C) $24$

Answer

D) $130$

The sum of the first $n$ terms of a sequence is given by $S_n = n^2 + 3n$. Find the tenth term.

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