Recursive sequences

Questions at easy, medium and hard levels. Pick a level and get a fresh set every time, with instant feedback.

Learn it A recursive formula gives the first term and a rule for getting each term from the one before, like t₁ = 3, tₙ = 2tₙ₋₁ + 1. Work forward one term at a time.

Example: t₁ = 5, tₙ = tₙ₋₁ − 3. Find t₄.

t₂ = 2, t₃ = −1, t₄ = −4.

Loading questions…