Find the geometric mean between 49 and 94

Find the geometric mean between `4/9` and `9/4`

Sum

Geomatric mean between `4/9` and `9/4`

= `sqrt(4/9 xx 9/4)`

= `sqrt(1)`

= 1

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Chapter 11: Geometric Progression - Exercise 11 (D) [Page 161]

Chapter 11 Geometric Progression
Exercise 11 (D) | Q 12. (i) | Page 161

Find, which of the following sequence from a G.P. :

`1/8, 1/24, 1/72, 1/216, ................`

The fifth term of a G.P. is 81 and its second term is 24. Find the geometric progression.

For the G.P. `1/27, 1/9, 1/3, ........., 81`; find the product of fourth term from the beginning and the fourth term from the end.

If a, b and c are in G.P., prove that : log a, log b and log c are in A.P.

Find the sum of G.P. :

`1 - 1/2 + 1/4 - 1/8 + ..........` to 9 terms.

Find the geometric mean between 14 and `7/32`

Q 3.3

The first term of a G.P. is –3 and the square of the second term is equal to its 4^th term. Find its 7^th term.

Find the 5^th term of the G.P. `5/2, 1, .........`

Find the sum of the sequence `-1/3, 1, -3, 9, ..........` upto 8 terms.