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Find the 9th term of the G.P. 2, 1, 12, ...... - Mathematics

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Question

Find the 9th term of the G.P. 2, 1, `1/2`, ......

Sum
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Solution

a = 2

r = `1/2`

`a_n = ar^(n - 1)`

`a_9 = ar^(9 - 1)`

a9 = ar8

= `2 xx (1/2)^8`

= `2 xx 1/2^8`

=`1/2^7`

` a_9 = 1/128`

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Chapter 9: Arithmetic and geometric progression - Exercise 9D [Page 193]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 9 Arithmetic and geometric progression
Exercise 9D | Q 3. | Page 193
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