Denote the sequence by
with
.
Recursively:
The first number is
, and each successive number is twice the previous one. So
,
,
, ... .
In other words,
and so in general,
Explicitly:
We can arrive at this formula by, in a way, working backwards. If
, that means
, and so
, and so on. We would end up with
(You'll notice a pattern here: the exponent of the 2 and the index of the earlier term in the sequence add up to
. For example,
.)
or simply
Then the 15th term is obtained immediately by evaluating this rule at
. We get
Answer:
Step-by-step explanation:
Answer:
0.05?? this is random stuff bc it says I need 20 characters
Answer:
f(x) = 6 x^2 - 1
f(2) = 6 * 2^2 - 1 = 23
f(-1) = 6 * -1^2 - 1 = 6 * 1 - 1 = 5
f(2) - f(-1) = 23 - 5 = 18
Answer:
square root 2, pi, 1/3 and 2/7