Answer:
Here we have the sequence:
0.5, 1, 2, 4, 8,...
A) we want to write the term to term rule.
We can see that each term is twice the one before, like:
2*0.5 = 1
2*1 = 2
2*2 = 4
2*4 = 8
etc.
So the term to term rule is just:
n-th term equals twice the previous term, or:
[tex]A_n = 2*A_{n-1}[/tex]
b) We can just construct the 7th term with the known ones:
We know that:
A₅ = 8
A₆ = 2*A₅ = 2*8 = 16
A₇ = 2*A₆ = 2*16 = 32
A₇ = 32
c) As each term in our sequence (unless for the first two ones) is a multiple of 2, we know that no odd number can be a term of this sequence.
1527 is an odd number, so this number can not be in the sequence.
