Common Ratio

Q. For $a=27,b=8,m=\frac{1}{3}$ verify $(ab{)}^m=a^m{b}^m$

Q. The terms of a G.P. are positive. If each term is equal to the sum of two terms that follow it, then the common ratio is

1. $\frac{\sqrt{5}-1}{2}.$
2. $\frac{1-\sqrt{5}}{2}.$
3. $2\sqrt{5}$
4. 1

Q.

${(a-b)}^2$ + 4ab = ___________ .

1. a² + b²

2. a² – b²

3. (a + b)²

4. a² – b² + 4ab ​

Q.

If a, b, c are in G.P, then

1. a(b² + c²) = c(b² + c²)
2. a(b² + c²) = c(a² + b²)
3. a²(b + c) = c²(a + b)
4. none of these