Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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Find the sum of the following 102, 97, 92,… up to 27 terms. - Mathematics

Sum

Find the sum of the following

102, 97, 92, … up to 27 terms.

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Solution

Here a = 102, d = 97 – 102 = – 5

n = 27

Sn = `"n"/2` [2a + (n – 1)d]

S27 = `27/2` [2(102) + 26(– 5)]

= `27/2` [204 – 130]

= `27/2` × 74

= 27 × 37 = 999

S27 = 999

Concept: Series
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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 2 Numbers and Sequences
Exercise 2.6 | Q 1. (ii) | Page 67
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