Find the first four terms of the sequence given by the following. an= 4(2)^n-1 n=1, 2, 3...
1 answer:
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Answer:
10010
Step-by-step explanation:
So gives us:
-----------------------------------------------------
Combine like terms:
We aren't allowed to have a coefficient bigger than 1.
I'm going to replace with 1 and
with
:
I want a number:
Combine like terms:
:
Combine like terms:
We can rewrite the first term by law of exponents:
So the binary form is:
Maybe you like this way more:
Keep in mind 1+1=10 and that 1+1+1=11:
Setup:
1 0 1 1
+ 1 1 1
------------------------------
(1) (1) (1)
1 0 1 1
+ 1 1 1
------------------------------
1 0 0 1 0
I had to do some carry over with my 1+1=10 and 1+1+1=11.
