Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th

# 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.

#### 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