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

Find the sum to infinity of 9 + 3 + 1 + …. - Mathematics

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Question

Find the sum to infinity of 9 + 3 + 1 + ….

Sum

Solution

9 + 3 + 1 + ….

a = 9, r = `3/9 = 1/3 < 1`

S = `"a"/(1 - "r")`

= `9/(1 - 1/3)`

= `(9/(3 - 1))/3`

= `(9/2)/3`

= `9 xx 3/2`

= `27/2`

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Sum to n Terms of a Geometric Progression
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Chapter 2: Numbers and Sequences - Exercise 2.8 [Page 76]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 2 Numbers and Sequences
Exercise 2.8 | Q 4. (i) | Page 76
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