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Question
Identify the following sequence is in G.P.?
`1/3, 1/6, 1/12, ...`
Sum
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Solution
`1/3, 1/6, 1/12, ...`
r = `("t"_2)/("t"_1)`
= `(1/6)/(1/3)`
= `1/6 xx 3/1 = 1/2`
r = `("t"_3)/("t"_2)`
= `(1/12)/(1/6)`
= `1/12 xx 6/1 = 1/2`
r = `1/2 = 1/2`
∴ It is a G.P.
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Chapter 2: Numbers and Sequences - Exercise 2.7 [Page 72]
