(B) The sum of the first $n$ terms is given by $S_n = 5n^2 + 2n$.To find the second term $(T_2)$,we use the relation $T_n = S_n - S_{n-1}$.For $n = 2$

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(B) The sum of the first $n$ terms is given by $S_n = 5n^2 + 2n$.To find the second term $(T_2)$,we use the relation $T_n = S_n - S_{n-1}$.For $n = 2$,$T_2 = S_2 - S_1$.First,calculate $S_2$: $S_2 = 5(2)^2 + 2(2) = 5(4) + 4 = 20 + 4 = 24$.Next,calculate $S_1$: $S_1 = 5(1)^2 + 2(1) = 5 + 2 = 7$.Therefore,$T_2 = 24 - 7 = 17$.

Competitive Quantitative Aptitude Progression and Sequence Progression and Sequence

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If the sum of the first $n$ terms of a series is $5n^2 + 2n$,then its second term is

A
$7$
B
$17$
C
$24$
D
$42$

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