SL 1.8—Infinite geometric series Topic Practice
SL 1.8—Infinite geometric series Topic Practice
Practise sums to infinity for geometric series, convergence decisions and applications to repeating decimals, motion and graph limits.
How this is tested
- decide whether S_infty exists by checking |r| =1
- use S_infty=u_1/(1-r) for contexts such as bouncing distances, repeating decimals and algebraic series
- find convergence restrictions such as |-2x^2|<1 before calculating exact constants or sums