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Find 3 geometric mean between 1 and 256 .

Solution:
Your problem `->` Find 3 geometric mean between 1 and 256 .


Let ` a_1, a_2, a_3` be the `3` geometric mean between `1` and `256`.

`:. 1, a_1, a_2, a_3, 256` are in GP .

Here First term `a = 1` and Last term `b = 256`

Comman ratio `r = (b/a)^(1/(n+1)) = (256/1)^(1/4) = 4`

`:.` Required Geometic Means,

`a_1 = a * r = 1 * 4 = 4`

`a_2 = a r^2 = 1 × 4^2 = 16`

`a_3 = a r^3 = 1 × 4^3 = 64`






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