the mid term of an arithmetic series consisting of 25 term is 20 find the sum of series
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since there are 25 terms which is odd the middle term is(25+1)/2th term that is 13th term
13th term = 20
a+12d=20
sum of nth term=n/2{2a+(n-1)d}
=25/2{2a+(25-1)d}
=25/2{2a+24d}
taking 2 as common
=25/2{2(a+12d)}
=25(a+12d)
from 1,a+12d=20
25multiply20 =500
500 is ans
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