A young plant is measured at the end of each week. Its height is shown below. Week, $n$$1$$2$\

Question

A young plant is measured at the end of each week. Its height is shown below.
Week, $n$ $1$ $2$ $3$ $4$ $5$ $n$
Height (cm) $12$ $13.8$ $15.6$ $17.4$
Complete the table.
[2]
A short video receives an increasing number of views each day after it is posted.
Day, $n$ $1$ $2$ $3$ $4$ $5$
New views $200$ $600$ $1800$ $5400$ $16 200$
1. Find an expression, in terms of $n$, for the number of new views on Day $n$.
  [2]
2. Find the first day on which the number of new views is at least $50\,000$.
  [2]

Accepted Answer

(a) $19.2,1.8n+10.2$ (b)(i) $200(3^{n-1})$ (b)(ii) Day $7$ ​

Sequence and Series - Problems involving inequalities