NZ Level 7 (NZC) Level 2 (NCEA)
Terms in Arithmetic Progressions

## Interactive practice questions

Consider the first three terms of the arithmetic sequence: $5$5, $12$12, $19$19, . . .

a

Determine $d$d, the common difference.

b

State the expression for finding $T_n$Tn, the $n$n th term in the sequence.

c

Determine $T_{10}$T10, the $10$10 th term in the sequence.

Easy
Approx 3 minutes

Consider the first three terms of the arithmetic sequence: $17$17, $16.2$16.2, $15.4$15.4, . . .

Consider the first three terms of the arithmetic sequence: $10$10, $3$3, $-4$4, . . .

Consider the first three terms of the arithmetic sequence: $5$5, $\frac{23}{4}$234, $\frac{13}{2}$132, . . .

### Outcomes

#### M7-3

Use arithmetic and geometric sequences and series

#### 91258

Apply sequences and series in solving problems