Arithmetic, geometric or neither? Find the next terms with a recursive rule
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
Bo's reading log shows the list 5, 15, 25, 35. Is the list arithmetic, geometric or neither?
- Neither: the arrows change
- Geometric: × 3 on every arrow
- Arithmetic: + 10 on every arrow
Esme's bake-sale tally shows the list 2, 6, 18, 30. Is the list arithmetic, geometric or neither?
- Neither: the arrows change
- Geometric: × 3 on every arrow
- Arithmetic: + 4 on every arrow
Kira zooms in on a seed picture again and again. Its width on screen, in mm, is 2, 10, 50, 250. What is the next term?
Milo cuts a ribbon in half again and again, keeping one half. The lengths in cm are 96, 48, 24, 12. What is the next term?
Ren climbs a pretend number ladder. The rule is a(1) = 6, a(n) = a(n − 1) + 9. What is a(5)?
Ari draws a tree whose branches split. The rule is a(1) = 4, a(n) = 3 · a(n − 1). What is a(5)?
Bo reads 12 pages on day 1 of a reading challenge, then 5 more pages each day than the day before. How many pages does Bo read on day 6?
Esme's school hall has 14 chairs in row 1, and each row has 2 more chairs than the row before. How many chairs are in row 8?
Jun watches a science video: a frog egg divides, so its cells double at each stage. There are 2 cells at stage 1. How many cells are there at stage 6?
A science video shows 300 bacteria in a dish at count 1. The number doubles (× 2) at each count, 20 minutes apart. How many bacteria does Kira see at count 5?