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Which answer is the explicit rule for the sequence 3, 8, 13, 18, 23

User Mmahgoub
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This is an arithmetic sequence, meaning each number increases by a common difference. The formula for arithmetic sequences is aₙ=a₁ + (n-1)(d)

aₙ= The number you are looking for.

a₁= The first term in the sequence. In this case, it is 3.

n= What position the number is in in the sequence. (The first number, the second number, the third number, etc).

d= The difference. To find this, subtract two of the numbers right next to each other (right to left):
8-3= 5
13-8= 5
23-18=5

The common difference is 5.

The formula: aₙ= 3 + (n-1)(5)
User Blake Senftner
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