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Here first installment is Tk. 100 ∴Second installment is Tk. 105 ∴Third installment is Tk. 110 The series := 100 + 105 + 110 + 115 +....... Here, a =100: d = 105 - 100 = 5 If n be the number of installment, we can write n2{2a+(n-1)d}=7,900 =n2{(2×100)+(n-1)5}=7,900

=n2 (200 + 5n - 5) = 7, 900 =n(195 + 5n) = 15, 800 =5n2+195n-15,800=0 =n2+39n-3,160=0 =n2+79n-40n-3,160=0 =n(n + 79) - 40(n + 79) = 0 =(n + 79)(n - 40) = 0 Here, (n + 79) = 0 ∴n=-79 (which is not acceptable) ∴n-40=0 ∴n=40

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