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Formula for Sum of n Terms of an AP

iii Find the ...

Question

Question 1 (iii)
Find the sum of the following APs
(iii) 0.6, 1.7, 2.8 ,…….., to 100 terms

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Solution

(iii)
$0.6, 1.7, 2.8, \dots \dots, t o 100 t e r m s F o r t h i s A . P ., a = 0.6 d = a_{2} - a_{1} = 1.7 - 0.6 = 1.1 n = 100 W e k n o w t h a t, S_{n} = \frac{n}{2} [2 a + (n - 1) d] S_{100} = \frac{100}{2} [1.2 + (99) \times 1.1] = 50 [1.2 + 108.9] = 50 [110.1] = 5505$

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184

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