Question
If the sum to $n$ terms of an A.P. is $3 n^{2}+5 n$, while $T_{w}=164$, then value of $m$ is(a) 25(b) 26(c) 27(d) 28
Step 1
P. is given by $S_n = 3n^2 + 5n$. The $m^{th}$ term of the A.P. is given by $T_m = S_m - S_{m-1}$. Show more…
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The nth term of an AP is 164 and the sum of its first $n$ terms is $3 n^{2}+5 n$. Then, $n$ equals (a) 53 (b) 36 (c) 27 (d) 28
If the sum of $n$ terms of an A.P. is $3 n^{2}+5 n$ and its $m^{\text {th }}$ term is 164 , find the value of $m$.
Sequences and Series
Sequences
If the sum of the first $2 n$ terms of the A.P. $2,5,8, \ldots$, is equal to the sum of the first $n$ terms of the A.P. $57,59,61, \ldots$, then $n$ equals (a) 10 (b) 12 (c) 11 (d) 13
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