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In an artimetic progression, the 24th te...

In an artimetic progression, the 24th term is 100. Then, the sum of the first 47 terms of the arithmetic progression is

A

2300

B

2350

C

2400

D

4700

Text Solution

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The correct Answer is:
D
Since, ` a + 23d = 100" " ` …(i)
` therefore S _ (47 ) = ( 47 ) /( 2 ) [ 2a + 46 d] = 47 [ a + 23 d ] `
` = 47 xx 100 = 4700 " " ` [ from Eq. (i) ]
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