Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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Find the next three terms of the following sequence. 5, 1, – 3, … - Mathematics

Sum

Find the next three terms of the following sequence.

5, 1, – 3, …

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Solution

5, 1, – 3, …

d = t2 – t1 = t3 – t2

⇒ 1 – 5 = – 3 – 1

– 4 = – 4

∴ It is an A.P.

tn = a + (n – 1)d

t4 = 5 + 3 × – 4

= 5 – 12

= – 7

15 = a + 4d

= 5 + 4 × – 4

= 5 – 16

= – 11

t6 = a + 5d

= 5 + 5 × – 4

= 5 – 20

= – 15

∴ The next three terms are 5, 1, – 3, – 7, – 11, – 15.

Concept: Sequence
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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 2 Numbers and Sequences
Exercise 2.4 | Q 1. (ii) | Page 55
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