Practice Growing Patterns in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A pattern where each term changes by a consistent rule, such as adding the same number each time.
Imagine stacking blocks in a staircase—each step is one block taller than the last. The pattern grows by a rule: +1 block per step. If the rule is +3, the staircase grows faster.
Example 1
easyA pattern starts: 3, 7, 11, 15, ... Find the next two terms and the rule.
Example 2
mediumThe first term of a pattern is 5 and it grows by 6 each time. Using \(a_n = a_1 + (n-1)d\), find the 10th term.
Example 3
easyA sequence goes: 2, 9, 16, 23, ... What are the next two terms?
Example 4
mediumA pattern has \(a_1 = 10\) and \(d = 5\). Find the 8th term using \(a_n = a_1 + (n-1)d\).
Example 5
mediumFind the 10th term of the pattern: 3, 7, 11, 15, ...