Question

In a geometric sequence, the first term is 6, the sum of infinity is 60, what is the common ratio?

Answer 1

Hello,

$u_{1} =6\\ \sum_{i=0}^\infty\6*q^i=60=6* \dfrac{1}{1-q} \\ \dfrac{1}{1-q} =10\\ 1-q= \dfrac{1}{10} \\ -q= -\dfrac{9}{10} \\ \boxed{q= \dfrac{9}{10} }$

Answer 2

The common ratio for this one should be -2 because it;s an infinite geometry