1. 1
   A savings club tracks three members' weekly savings sequences, all in dollars. Member A's savings follow $5, 9, 13, 17, \ldots$. Member B's savings follow the $n$th term rule $3n-1$. Member C's savings satisfy first term $a=7$ and common difference $d=5$.

   (a)

   A sequence begins $5, 9, 13, 17, \ldots$. What is the next term?

   [1 mark]

   • A$19$
   • B$20$
   • C$21$
   • D$22$

   (b)

   Member B's savings follow the $n$th term rule $3n-1$. What is the 10th term?

   [1 mark]

   • A$29$
   • B$30$
   • C$28$
   • D$31$

   (c)

   Member C's savings have first term $a=7$ and common difference $d=5$. Using the formula $a+(n-1)d$, find the 6th term.

   [1 mark]

   • A$37$
   • B$32$
   • C$30$
   • D$27$

   Total for question 1: 3 marks

2. 2
   A stadium arranges seats in rows so that the number of seats in row $n$ forms the arithmetic sequence $8, 14, 20, 26, \ldots$

   (a)

   Row 1 has 8 seats. Find the $n$th term rule for the number of seats in row $n$.

   [2 marks]

   (b)

   Using your $n$th term rule, find the number of seats in row 15.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A company pays annual bonuses forming an arithmetic sequence in hundreds of dollars, with first term $a=12$ and common difference $d=3$.

   (a)

   A company's annual bonus payments, in hundreds of dollars, form an arithmetic sequence with first term $a=12$ and common difference $d=3$. Using the formula $a+(n-1)d$, find the value of the 20th term, showing your working.

   [3 marks]

   (b)

   Find the sum of the first 20 bonus payments (in hundreds of dollars) using the sum formula $S_n=\frac{n}{2}(2a+(n-1)d)$.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A charity's monthly donations, in dollars, form an arithmetic sequence. The 3rd month's donation is 340 dollars and the 7th month's donation is 500 dollars. The charity wants to know the total donations collected over the first year, and in which month donations first exceed 900 dollars.

   (a)

   A charity's monthly donations form an arithmetic sequence. The 3rd month's donation is 340 dollars and the 7th month's donation is 500 dollars. Find the first term $a$ and common difference $d$ of the sequence, showing your working using simultaneous equations.

   [4 marks]

   (b)

   Using your values of $a$ and $d$, find the total donations collected over the first 12 months using the sum formula $S_n=\frac{n}{2}(2a+(n-1)d)$.

   [4 marks]

   (c)

   Find the first month, $n$, in which the donation exceeds 900 dollars, by forming and solving an inequality using $a+(n-1)d>900$.

   [5 marks]

   Total for question 4: 13 marks

End of questions