Question

Look at the pattern shown below. What number is missing from the pattern? 20, 22, 26, 34, __,82

Answer 1

Welcome to OpenStudy and do you see any pattern here? They're all even #'s for one ;-)

Answer 2

20

Answer 3

34 + 16 = ??

Answer 4

@fadxi No.

Answer 5

Hmm at first I thought it was \(\Sigma_1^\infty\) [ {previous term} + 2(3+n) ]

Answer 6

But 82 is a big jump, so now I'm thinking it's an exponential

Answer 7

@ladiic03 Can you please list out the prime factorization of each of those numbers?

Like so:
22=(2)(11)
26=(2)(13)
34=?
82=?

Answer 8

That's the trick if you're looking for an exponential

Answer 9

HAHA GOT IT! :-D

Answer 10

You still there @ladiic03?

Answer 11

\[\large 2(\frac{a_{n-1}}{2}+2^n),a_0=11,a_1\ to\ a_4\]

Answer 12

22 / 2 = 11
26 / 2 = 13
34 / 2 = 17
50 / 2 = 25
82 / 2 = 41

13 - 11 = 2
17 - 13 = 4
25 - 17 = 8
41 - 25 = 16

2^1=2
2^2=4
2^3=8
2^4=16

;-)