Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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Find the sum of the following 3, 7, 11, … up to 40 terms - Mathematics

Sum

Find the sum of the following

3, 7, 11, … up to 40 terms

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Solution

3, 7, 11, ... upto 40 terms.

a = 3, d = t2 – t1 = 7 – 3 = 4

n = 40

Sn = `"n"/2` (2a + (n – 1)d)

S40 = `20/2` (2 × 3 + 39d)

= 20(6 + 39 × 4)

= 20(6 + 156)

= 20 × 162

= 3240

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. (i) | Page 67
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