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Find the sum of 6 terms of the series 2 + 6 +18 + ..... - Mathematics

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Question

Find the sum of 6 terms of the series 2 + 6 + 18 + .....

Sum
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Solution

a = 2

r = 3

n = 6

Sum of n terms of the GP

Sn = `(a(r^n - 1))/(r - 1)`

S6 = `(2(3^6 - 1))/2`

= 729 − 1

= 728

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Chapter 9: Arithmetic and geometric progression - Exercise 9E [Page 198]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 9 Arithmetic and geometric progression
Exercise 9E | Q 1. | Page 198
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