Find the sum of the series: $7 + 15 + 23 + 31 + 39 + 47 + . . + 359.$

5235

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6235

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7235

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8235

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Solution

The correct option is D $8235$
First term: $7$
Last Term: $359$
$T_{n} = 359 = 7 + (n - 1) d$
Here, $d = 8$
$T_{n} = 359 = 7 + (n - 1) 8$
$\Rightarrow n = 45$

Sum: $\frac{45}{2} (7 + 359) = \frac{45}{2} \times 366 = 183 \times 45 = 8235$

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