Growing Patterns Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

medium
A pattern has \(a_1 = 10\) and \(d = 5\). Find the 8th term using \(a_n = a_1 + (n-1)d\).

Solution

  1. 1
    \(a_8 = 10 + (8-1) \times 5\).
  2. 2
    \(= 10 + 7 \times 5 = 10 + 35 = 45\).

Answer

45
Using \(a_n = a_1 + (n-1)d\): \(a_8 = 10 + 35 = 45\).

About Growing Patterns

A growing pattern is a sequence where each term increases by following a consistent rule, such as adding the same number each time (2, 5, 8, 11, ...) or multiplying by a constant factor (3, 6, 12, 24, ...). Recognizing the rule lets you predict any term in the sequence.

Learn more about Growing Patterns →

More Growing Patterns Examples

Example 1 easy

A pattern starts: 3, 7, 11, 15, ... Find the next two terms and the rule.

Example 2 medium

The first term of a pattern is 5 and it grows by 6 each time. Using (a_n = a_1 + (n-1)d), find the 1

Example 3 easy

A sequence goes: 2, 9, 16, 23, ... What are the next two terms?

Example 5 medium

Find the 10th term of the pattern: 3, 7, 11, 15, ...

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