Question

Make a conjecture about the next item in the sequence.
1, 4, 16, 64, 256
Select one:
a. 1024
b. 1025
c. 4096
d. 1022

Answer 1

hint:
it is a geometrical sequence whose first term is 4 and the constant is 4, so the 6th term is:
\[{a_6} = {a_1}{q^{6 - 1}} = 4 \cdot {4^5} = ...?\]

Answer 2

oops.. geometric*

Answer 3

fist term is 1

Answer 4

so we get:
\[{a_6} = {a_1}{q^{6 - 1}} = 1 \cdot {4^5} = ...?\]

Answer 5

first* term

Answer 6

2^0,2^2,2^4,2^6,2^8,2^10
so 2^10 is ans

Answer 7

All you need to do is figure out the pattern: 1, 4, 16, 64, 256 the pattern being that each number is multiplied by 4, to get the next number.

Answer 8

Alright! thank you all so much! (:

Answer 9

I think that we can note this:
\[\frac{{256}}{{64}} = \frac{{64}}{{16}} = \frac{{16}}{4} = \frac{4}{1} = 4\]

Answer 10

its depends on how u see patter in Q but main think is that ans is correct at end