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Which rule fits the pattern 2, 5, 10, 17, 26, …? (n is the position.)

Class 7Formulas and Rules from PatternsAlgebra

A $2 n + 1$
B $n^{2} + 1$
C $n^{2} + n$
D $3 n - 1$

Step-by-Step Solution

Square numbers are 1, 4, 9, 16, 25; adding 1 gives 2, 5, 10, 17, 26 ✓

. (3 n - 1

fits only the first two terms.)

Answer: B)

n^{2} + 1

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