Maya follows a walking programme. The distance she walks each day is shown in the table. Day, $ n$

Question

Maya follows a walking programme. The distance she walks each day is shown in the table.
Day, $ n$ $1$ $2$ $3$ $4$ $5$ $n$
Distance walked (km) $2.5$ $3.0$ $3.5$ $4.0$
Complete the table.
[2]
Leo follows a different exercise programme. The number of flights of stairs he climbs each day is shown below.
Day, $ n$ $1$ $2$ $3$ $4$ $5$
Number of flights $3$ $6$ $12$ $24$ $48$
1. Find, in terms of $n$, the number of flights Leo climbs on Day $n$.
  [2]
2. Find the least value of $n$ such that Leo climbs at least $100$ flights on Day $n$.
  [2]

Accepted Answer

(a) $4.5, 0.5n+2$ (b)(i) $3(2^{n-1})$ (b)(ii) $n=7$​

Sequence and Series - Problems involving inequalities