NZ Level 7 (NZC) Level 2 (NCEA)
Arithmetic Series (using graphics calculators)

## Interactive practice questions

Find the sum of the first $20$20 terms of the arithmetic sequence defined by $T_1=\pi$T1=π and $T_{20}=20\pi$T20=20π.

Easy
Approx a minute

Use the summation feature of a graphing calculator to find the sum of the first ten terms, $S_{10}$S10, of the arithmetic series defined by $T_n=4.2n+8.81$Tn=4.2n+8.81.

Use the summation feature of a graphing calculator to find the sum of the first ten terms, $S_{10}$S10, of the arithmetic series defined by $T_n=\sqrt{7}n+\sqrt{5}$Tn=7n+5.

Use the summation feature of a graphing calculator to find the sum of the first ten terms, $S_{10}$S10, of the arithmetic series defined by $T_n=-\sqrt[3]{5}n+\sqrt{3}$Tn=35n+3.

### Outcomes

#### M7-3

Use arithmetic and geometric sequences and series

#### 91258

Apply sequences and series in solving problems