What is the next number in the pattern below? 3, 5, 9, 15, 23, ___ 31 33 35 37

1 answer:

7 0

Each term in this pattern is created by adding consecutive multiples of 2 to the previous term.
$a_1=3 \\
a_2=3+ 2 \times 1=5 \\
a_3=5+2 \times 2=9 \\
a_4=9+2 \times 3=15 \\
a_5=15+2 \times 4=23$

You can write the formula for this pattern as:
$\left \{ {{a_1=3} \atop {a_n=a_{n-1}+2(n-1)}} \right.$

The next number is $23+2 \times 5=23+10=33$ .
The answer is 33.

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