Sum -712- -7- -612- - to 24 terms-

The given series is 7 1 2 , 7.5, 6 1 2 ,... to 24 terms ∴ a= 7 1 2 = 7.5 and #160; d= 7 ( 7.5 ) =0.5 ∴ S _ n =2a+( n 1 ) d ...

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Sum of N Terms of an AP

Sum -712, -...

Question

Sum $- 7 \frac{1}{2}, - 7, - 6 \frac{1}{2}$ , ..... to $24$ terms.

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- \frac{1}{3}, \frac{1}{2}, - \frac{3}{4}

7

S = 1 + \frac{1}{(1 + 3)} (1 + 2)^{2} + \frac{1}{(1 + 3 + 5)} (1 + 2 + 3)^{2} + \frac{1}{(1 + 3 + 5 + 7)} (1 + 2 + 3 + 4)^{2} + . . . .

S = 1 + \frac{1}{(1 + 3)} (1 + 2)^{2} + \frac{1}{(1 + 3 + 5)} (1 + 2 + 3)^{2} + \frac{1}{(1 + 3 + 5 + 7)} (1 + 2 + 3 + 4)^{2} + \dots \dots

\frac{1}{\sqrt{2}}, - 2, \frac{8}{\sqrt{2}}, . . . .

7

6^{\frac{1}{2}} \times 6^{\frac{1}{4}} \times 6^{\frac{1}{8}} \times 6^{\frac{1}{16}} \times . .

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