If the sum of the series 54 + 51 + 48 + ..... | vedclass

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Question

(a) According to condition

$ \Rightarrow $ $513 = \frac{n}{2}\left\{ {2 	imes 54 + (n - 1)( - 3)} ight\}$

$ 1026=n(111-3n)$

$ \Rightarrow

Vedclass · Accepted Answer

$18$

Vedclass · Answer

(a) According to condition

$ \Rightarrow $ $513 = \frac{n}{2}\left\{ {2 	imes 54 + (n - 1)( - 3)} ight\}$

$ 1026=n(111-3n)$

$ \Rightarrow $ $3{n^2} - 111n + 1026 = 0$

$ (3n-57)(n-18)=0$

Hence $n = 18$.

If the sum of the series $54 + 51 + 48 + .............$ is $513$, then the number of terms are

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