Question

Find the common ratio and general term of the G.P -2/3,-6,-54.......(with explanation )

Answer 1

GP :-a,ar,ar²,......

a is first term

common ratio is = ar/a = ar²/ar=.... is same

so we can find out common ratio = second term / first term

here, GP = -2/3,-6,-54,....

a= -2/3,

$common \: ratio \: r = \frac{ - 6}{ \frac{ - 2}{3} } \\ = 6 \times \frac{3}{2} = 9$

so, common ratio is 9