what is the next number in the sequence?
1,2,4,16,____

Question

what is the next number in the sequence?
1,2,4,16,____

hesan · Answer

@hartnn @Compassionate

anonymous · Answer

16 * 16

hesan · Answer

@ParthKohli  @robtobey

anonymous · Answer

256

hesan · Answer

why 16*16 ? @mrfriendlybee

anonymous · Answer

It first uses 1 * 1, which is 1. Then 2, then 2 * 2, 4, then 4 * 4, 16... see?

hesan · Answer

1*1 is not equals to 2 therefore this pattern couldn't be apply

anonymous · Answer

Yes, but it is using a property of math which I cannot remember... it is starting from the lowest nonzero number; it could be 0, 2, 4, 16 but it would then be against the rules of mathematics.

hesan · Answer

if it was like  2,4,16,.... then it is obvious that in this series the next number is the square of the previous number.
but in this case the series is 1,2,4,16,... . therefore the same formula or can't be apply

parthkohli · Answer

$a_1 = 1; ~ ~ ~ a_2 = 2; ~ ~ ~ a_n = (a_{n-1})^2$

anonymous · Answer

NOW I see! 1 adds to 1.

parthkohli · Answer

in other words you are squaring previous terms

anonymous · Answer

then it adds 2 + 2, then...??? K I'm going 2 leave this to @ParthKohli.

hesan · Answer

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