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Find the value of ${S_5}$ if ${S_n} = 5{n^2} + 11n$.

Last updated date: 23rd Mar 2023
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Here the given equation is ${S_n} = 5{n^2} + 11n$.
And now we have to find the value at n=5 because it asked for ${S_5}$.
$\Rightarrow {S_5} = 5{(5)^2} + 11(5) \\ \Rightarrow {S_5} = 5 \times 25 + 11 \times 5 \\ \Rightarrow {S_5} = 125 + 55 \\ \therefore {S_5} = 180 \\$
Hence the value of ${S_5}$ is 180.