Geometric convergence
Series sum from n=0 to infinity of 3(1/4)^n has first term 3 and ratio 1/4.
- The absolute value of r is less than 1, so the series converges.
- Sum is a/(1-r).
- Keep the n=0 first term.
sequences, series, convergence, and approximation
Series sum from n=0 to infinity of 3(1/4)^n has first term 3 and ratio 1/4.
Pause. Find what matters. Then make your move.