Maharashtra State BoardHSC Science (Electronics) 11th
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Answer the following: If for a G.P. t3 = 13, t6 = 181 find r - Mathematics and Statistics

Sum

Answer the following:

If for a G.P. t3 = `1/3`, t6 = `1/81` find r

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Solution

Given, t3 = `1/3`, t6 = `1/81`

tn = arn–1

∴ t3 = ar2 

∴ ar2 = `1/3`

∴ a = `1/(3"r"^2)`    ...(i)

Also, t6 = ar5

∴ ar5 = `1/81`

∴ `1/(3"r"^2) xx "r"^5 = 1/81`   ...[From (i)]

∴ r3 = `1/27`

∴ r = `1/3`

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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 2 Sequences and Series
Miscellaneous Exercise 2 | Q II. (22) | Page 42
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