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

# Write the first three terms of the G.P. whose first term and the common ratio are given below a = 1000, r = 25 - Mathematics

Sum

Write the first three terms of the G.P. whose first term and the common ratio are given below

a = 1000, r = 2/5

#### Solution

a = 1000, r = 2/5

tn = arn-1

t1 = ar1-1 = ar= 1000 × 1 = 1000

t2 = ar2-1 = ar = 1000 xx 2/5 = 400

t3 = ar3-1 = ar2 = 1000 (2/5)^2

= 1000 xx 4/25

= 160

∴ The 3 terms are 1000, 400, 160, …

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#### APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 2 Numbers and Sequences
Exercise 2.7 | Q 2. (iii) | Page 72