With respect to the usual notations of an A.P | vedclass

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Question

(A) Given: First term $a = 5$,common difference $d = 3$,and $n^{th}$ term $T_n = 50$.Step $1$: Find $n$ using the formula $T_n = a + (n - 1)d$.$50 = 5

Vedclass · Accepted Answer

n=$16$,S_n=$440$

Vedclass · Answer

(A) Given: First term $a = 5$,common difference $d = 3$,and $n^{th}$ term $T_n = 50$.Step $1$: Find $n$ using the formula $T_n = a + (n - 1)d$.$50 = 5 + (n - 1)3$$45 = (n - 1)3$$15 = n - 1$$n = 16$.Step $2$: Find the sum of $n$ terms $S_n$ using the formula $S_n = \frac{n}{2}(a + T_n)$.$S_{16} = \frac{16}{2}(5 + 50)$$S_{16} = 8 	imes 55$$S_{16} = 440$.Thus,$n = 16$ and $S_n = 440$.

With respect to the usual notations of an $A.P.$,if $a=5, d=3$ and $T_n=50$,find $n$ and $S_n$.

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