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`
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Solution
a = 1000, r = `2/5`
tn = arn-1
t1 = ar1-1 = ar0 = 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, …
Concept: Geometric Progression
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