Could you calculate the value of the following expression?
$$\sum_{t=1}^{\infty}{\frac{1}{(1+x)^t}}$$
You asked:
Evaluate the expression: \(\sum_{t = 1}^{\infty} {\frac{1}{{\left( 1 + x \right)}^{t}}}\)
MathBot Answer:
Simplified: \[\sum_{t = 1}^{\infty} {\frac{1}{{\left( 1 + x \right)}^{t}}} = \sum_{t=1}^{\infty} \left(x + 1\right)^{- t}\]