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CBSE Class 10 Answered

Sum of the first n terms of an AP is 3n^2/2 + 13n. Find the nth term of the AP.
Asked by manasvi.gopani | 18 Feb, 2018, 14:34: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight S subscript straight n equals fraction numerator 3 straight n squared over denominator 2 plus 13 straight n end fraction
nth space term equals straight a plus open parentheses straight n minus 1 close parentheses straight d
straight a equals straight S subscript 1 equals fraction numerator 3 cross times 1 squared over denominator 2 plus 13 end fraction equals 3 over 15
straight a equals 1 fifth
straight S subscript 2 equals straight a plus straight a plus straight d.........1 st plus 2 nd space term
fraction numerator 3 cross times 2 squared over denominator 2 plus 13 cross times 2 end fraction equals 2 over 5 plus straight d
straight d equals 1 over 35
solve space
end style
Answered by Arun | 18 Feb, 2018, 16:24: PM
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