First, we inspect what type of sequence is the order of the coordinates:
a2 = 1
a3 = 2
a4 = 4
Getting the difference,
a3 - a2 = 1
a4 - a3 = 2
The differences are not equal; hence, the sequence is not arithmetic.
Getting the ratio:
a3/a2 = 2
a4/a3 = 2
The common ratio is 2. Using the general form for a geometric series:
an = a1 r^(n-1)
If n = 2
1 = a1 (2)^(2-1)
a1 = 1/2
So,
an = (1/2) (2)^(n-1)
The answer is the first option.
If the commutative property indicates that a+b=b+a with the problem being 98,551+2,841=2,841+n, its a pretty safe assumption that n would equal 98,551. a would be 98,551 as b would be 2,841.
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Answer:
B
Step-by-step explanation:
The exponential function has the form
where a is the starting value or y-intercept. B is the rate of change and x is the variable typically time. In this situation,
has starting value 4, rate 3 and a -x.
Normally an exponential curve glides left to right growing steeper as it goes. But a -x flips this behavior. The curve starts very steep then gradually slows down. This means only graphs B or D are options. Since only graph B of these two has a y-intercept at 4, graph B is the solution.
Answer:
-9 1/4
Step-by-step explanation: