First slide

Arithmetic progression

Question

$The maximum sum of the series 20 + 19 \frac{1}{3} + 18 \frac{2}{3} + \dots \dots \dots . . is$

Moderate

A

310
B

300
C

320
D

None of these

Solution

$20 + 19 \frac{1}{3} + 18 \frac{2}{3} + \dots \dots \dots . . = \frac{60}{3} + \frac{58}{3} + \frac{56}{3} + . . . . . . + \frac{2}{3} (∵ t h e s u m s h o u l d b e m a x i m u m) = \frac{2}{3} (\frac{30 \times 31}{2}) = 310$

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