Mathematics AI: SEQUENCES - SERIES Topical Past Paper Questions

[Maximum mark: 15] Inola has a triangular-shaped farm with boundaries of length 1600m, 1500m and 1400m. (a) Find the area of the farm. Give your answer in the form $ a \times 10^k $, where $ 1 \leq a [6][9] Inola is constructing a 2m-wide straight path on the level ground between…

[Maximum mark: 14] The $k$th triangle number, $T_{k}$, is defined as $T_{k}=\sum_{r=1}^{k}r$. (a) (i) Calculate the value of the fifth triangle number, $ T_{5} $. (ii) Determine the formula for $T_{k}$ in the form $ak^{2} + bk$. (b) (i) Find the value of $T_{5} + T_{4}$. (ii) Fin…

[Maximum mark:15] Daina makes pendulums to sell at a market. She plans to make 10 pendulums on the first day and, on each subsequent day, make 6 more than she did the day before. (a) Calculate the number of pendulums she would make on the 12th day. She plans to make pendulums for…