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example 2 find the common difference of each arithmetic sequence. then …

Question

example 2
find the common difference of each arithmetic sequence. then find the next three terms.

  1. 6, 12, 18, 24

Explanation:

Step1: Find common difference

Subtract the first term from the second term. $d = 12 - 6=6$.

Step2: Find the next three terms

Add the common - difference to the last given term successively.
The next term after 24 is $24 + 6=30$.
The term after 30 is $30 + 6 = 36$.
The term after 36 is $36+6 = 42$.

Answer:

Common difference: 6. Next three terms: 30, 36, 42.