# How do you find the sum of the infinite geometric series a1=35 r=2/7?

If and only if $\left\mid r \right\mid < 1$, the infinite geometric sum is:
${G}_{s} = {a}_{1} / \left(1 - r\right)$
${G}_{s} = {a}_{1} / \left(1 - r\right) = \frac{35}{1 - \frac{2}{7}} = 49$