In a geometric sequence, the first term is 6, the sum of infinity is 60, what is the common ratio?
the common ratio for this one should be -2 because it;s an infinite geometry
Hello,
\(u_{1} =6\\
\sum_{i=0}^\infty\6*q^i=60=6* \dfrac{1}{1-q} \\
\dfrac{1}{1-q} =10\\
1-q= \dfrac{1}{10} \\
-q= -\dfrac{9}{10} \\
\boxed{q= \dfrac{9}{10} }\)