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

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asked Sep 27, 2016 147k views

2 Answers

Bustergun · Answer 1 · 2016-10-03T21:41:02+0000

Each term in this pattern is created by adding consecutive multiples of 2 to the previous term.

$a_1=3 \\ a_2=3+ 2 * 1=5 \\ a_3=5+2 * 2=9 \\ a_4=9+2 * 3=15 \\ a_5=15+2 * 4=23$

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 * 5=23+10=33

.
The answer is 33.

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

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