If the product of three consecutive terms of | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(b) Let numbers are $\frac{a}{r},\;a,\;ar$

Under conditions, we get $\frac{a}{r}\;.\;a\;.\;ar = 216$

$ \Rightarrow $ $a = 6$

And sum of produ

Vedclass · Accepted Answer

$2, 6, 18$

Vedclass · Answer

(b) Let numbers are $\frac{a}{r},\;a,\;ar$

Under conditions, we get $\frac{a}{r}\;.\;a\;.\;ar = 216$

$ \Rightarrow $ $a = 6$

And sum of product pair wise $ = 156$

$ \Rightarrow $ $\frac{a}{r}\;.\;a + \frac{a}{r}\;.\;ar + a\;.\;ar = 156$

$ \Rightarrow $ $r = 3$

Hence numbers are $2, 6, 18.$

Trick : Since $2 	imes 6 	imes 18 = 216$ (as given) and no other option gives the value.

If the product of three consecutive terms of $G.P.$ is $216$ and the sum of product of pair-wise is $156$, then the numbers will be

Similar Questions

$x = 1 + a + {a^2} + ....\infty \,(a < 1)$ $y = 1 + b + {b^2}.......\infty \,(b < 1)$ Then the value of $1 + ab + {a^2}{b^2} + ..........\infty $ is

If in an infinite $G.P.$ first term is equal to the twice of the sum of the remaining terms, then its common ratio is

Find the sum of first $n$ terms and the sum of first $5$ terms of the geometric
series $1+\frac{2}{3}+\frac{4}{9}+\ldots$

What will $Rs.$ $500$ amounts to in $10$ years after its deposit in a bank which pays annual interest rate of $10 \%$ compounded annually?

The first two terms of a geometric progression add up to $12.$ the sum of the third and the fourth terms is $48.$ If the terms of the geometric progression are alternately positive and negative, then the first term is