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Find the sum of 23 terms of the AP 5,9,1...

Find the sum of 23 terms of the AP 5,9,13,17,……

Text Solution

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Here,a=5,d= (9-5) =4 and n=23
Now,s ` S_(n) = n/2 xx { 2a + ( n-1) xx d}`
` S_(23) = 23/2 xx { 2 xx 5 + ( 23 -1) xx 4}`
` = ( 23/2 xx 98) = 1127`
Hence, the sum of 23 terms of the given AP is 1127.
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