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:
the answer is 2.1
Step-by-step explanation:
using a calculator:
1. type in 4.2
2. multiply 4.2 by 1/2
3. the answer will then be shown as 2.1
Remember
a^3-b^3=(a-b)(a^2+ab+b^2)
(11x)³-(2y)³=(11x-2y)(121x²+22xy-4y²)
Answer:
.08344924
Step-by-step explanation:
Answer:
1/2
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