New Zealand
Level 7 - NCEA Level 2

# Arithmetic Series (defined limits)

## Interactive practice questions

How is the common difference of an arithmetic sequence obtained?

By choosing any term after the first and subtracting the preceding term from it.

A

By choosing any term after the first and adding the subsequent term to it.

B

By choosing any term after the first and dividing it by the preceding term.

C

By choosing any term after the first and adding the preceding term to it.

D

By choosing any term after the first and subtracting the preceding term from it.

A

By choosing any term after the first and adding the subsequent term to it.

B

By choosing any term after the first and dividing it by the preceding term.

C

By choosing any term after the first and adding the preceding term to it.

D
Easy
Less than a minute

Find the sum of the first $10$10 terms of the arithmetic sequence defined by $a=6$a=6 and $d=3$d=3.

Find the sum of the first $10$10 terms of the arithmetic sequence defined by $a=-18$a=18 and $d=4$d=4.

Find the sum of the first $15$15 terms in the arithmetic sequence $2+6+10$2+6+10 $+$+ ...

### Outcomes

#### M7-3

Use arithmetic and geometric sequences and series

#### 91258

Apply sequences and series in solving problems