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Each term of 3, 8, 13, 18, … is 5 more than the one before. Find a rule for the n-th term.

Class 7Formulas and Rules from PatternsAlgebra

A $3 n + 5$
B $5 n - 2$
Cn + 5
D $5 n + 3$

Step-by-Step Solution

The terms go up by 5, so start with

5 n

. For

n = 1, 5 n = 5

but the term is 3, so subtract 2:

5 n - 2

. Check

n = 4

: 18 ✓.

Answer: B)

5 n - 2

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