Can someone please help me. I need help on the 5 one
1 answer:
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Answer:
- geometric sequence with initial value 20 and common ratio 1/2
- average rate of change on [1, 3] = -7.5
Step-by-step explanation:
(a) The given points have sequential values of x and values of y that are each 1/2 the value before. The common ratio tells us the sequence is a geometric sequence.
(b) The first given point is (2, 10), so extrapolating backward, we determine the previous point to be ...
... (2-1, 10/(1/2)) = (1, 20)
Thus, we have enough information to determine the average slope between n=1 and n=3.
... (difference in y)/(difference in n) = (5 -20)/(3 -1) = -15/2 = -7.5
Answer:
Step-by-step explanation:
Considering the geometric sequence
As the common ratio '' between consecutive terms is constant.
The general term of a geometric sequence is given by the formula:
where is the initial term and
the common ratio.
Putting ,
and
in the general term of a geometric sequence to determine the 12th term of the sequence.
∵
Therefore,