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The 3rd and 6th terms of a G.P. are 40 and 320, then find the progression. - Mathematics

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Question

The 3rd and 6th terms of a G.P. are 40 and 320, then find the progression.

Sum
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Solution

T3 ⇒ ar2 = 40

T6 ⇒ ar5 = 320

`(ar^5)/(ar^2) = 320/40`

r3 = 8

r = 2

a(4) = 40

a = `40/4`

a = 10

GP ⇒ a, ar, ar2 ...

10, 20, 40, ....

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Chapter 9: Arithmetic and geometric progression - Exercise 9D [Page 194]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 9 Arithmetic and geometric progression
Exercise 9D | Q 13. | Page 194
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