Check the forward differences of the sequence.
If
, then let
be the sequence of first-order differences of
. That is, for n ≥ 1,

so that
.
Let
be the sequence of differences of
,

and we see that this is a constant sequence,
. In other words,
is an arithmetic sequence with common difference between terms of 2. That is,

and we can solve for
in terms of
:



and so on down to

We solve for
in the same way.

Then



and so on down to


Answer:
1/12
Step-by-step explanation:
Since the probability of getting heads is 1/2 and the probability of the number cube getting three is 1/6, we multiply.
For every coin flip, there is a 1/6 chance of getting a three. But since there is another condition, we have to multiply. Multiplying both fractions make 1/12.
Ten times 45 is equal to 450
If you would like to solve the equation 3 3/4 * a + 3 + 6 = 87, you can do it using the following steps:
3 3/4 * a + 3 + 6 = 87
15/4 * a = 87 - 3 - 6
15/4 * a = 78 /*4/15
a = 78 * 4/15
a = 104/5
a = 20.8
The correct result is 20.8.
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