# Write the first six terms of the arithmetic sequence with

Write the first six terms of the arithmetic sequence with the first term, ${a}_{1}$, and common difference, d. ${a}_{1}=5$, d=3
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Richard Cheatham
A sequence is arithmetic if there is a constant difference between consecutive terms, called the common difference d. So, to find the next term, add the common difference to the previous term.
Given ${a}_{1}=5$ and d=3, the first six terms are:
${a}_{1}=5$
${a}_{2}={a}_{1}+3=5+3=8$
${a}_{3}={a}_{2}+3=8+3=11$
${a}_{4}={a}_{3}+3=11+3=14$
${a}_{5}={a}_{4}+3=14+3=17$
${a}_{6}={a}_{5}+3=17+3=20$
Result:
5,8,11,14,17, and 20