Question

in an ap thevsum of first n terms is n^2/2+7n/4. find its 24th term.

Answer 1

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Answer 2

Answer:25.25

Step-by-step explanation:

Sum of n terms=n²/2+7n/4

First term of this AP(n=1)

(1)²/2+7(1)/4

=1/2+7/4

9/4=2.25

a=2.25

Sum of first two terms (n=2)

2²/2+7(2)/4

=2+7/2=5.5

Second term =sum of two terms-first term=5.5-2.25=3.25

common difference =second term-first term=3.25-2.25=1

d=1

24th term of AP=a+(24-1)d

2.25+23(1)

2.25+23=25.25