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प्रश्न
Find the geometric mean between 14 and `7/32`
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उत्तर
Geomatric mean between 14 and `7/32`
= `sqrt(14 xx 7/32)`
= `sqrt(49/16)`
= `7/4`
= `1 3/4`
संबंधित प्रश्न
Find, which of the following sequence from a G.P. :
9, 12, 16, 24, ................
The fourth term, the seventh term and the last term of a geometric progression are 10, 80 and 2560 respectively. Find its first term, common ratio and number of terms.
The fifth, eight and eleventh terms of a geometric progression are p, q and r respectively. Show that : q2 = pr.
Find the third term from the end of the G.P.
`2/27, 2/9, 2/3, .........,162.`
If for a G.P., pth, qth and rth terms are a, b and c respectively; prove that : (q – r) log a + (r – p) log b + (p – q) log c = 0
If each term of a G.P. is raised to the power x, show that the resulting sequence is also a G.P.
Q 6
Find the sum of G.P. :
`(x + y)/(x - y) + 1 + (x - y)/(x + y) + ..........` upto n terms.
Q 3.2
The sum of three numbers in G.P. is `39/10` and their product is 1. Find the numbers.
