Let
be the n'the term of the sequence.
The first term of the sequence is
the second
is 8
the third term
is 4
the fourth term
is 2
the fifth term
is 1
We notice that:
i) the values of the terms are powers of 2, and decreasing:
ii) we also notice that the subscript integer of a, and the power of 2 at that term, add to 5.
thus the general term of the sequence is given by:
.
to fit the choices of the question, we can modify this formula as follows:
The average rate of change from n=1 to n=3 is defined as:
can be found using the general formula,
,
thus the average rate of change is (4-16)/2=-12/2=-6
Answer:
,
average rate of change=-6
Answer:
im pretty sure you can do this with a protracter
Step-by-step explanation:
Answer:
The correct answer is 21.5
Step-by-step explanation:
Answer:
a) 46.98%
b) increasing rate of change
Step-by-step explanation:
In year 1987, investment worth $29800
In year 1997, investment worth $43800
Rate of change = 1997investment - 1987investment / 1987investment × 100
Rate of change = 43800 - 29800/29800 × 100
= 14000/29800 × 100
= 0.46979 × 100
= 46.98%
Therefore, the rate of change of the investment during the time period is 46.98%.
b) The rate of change of the investment is increasing. This is as a result of the following reasons. First, the value of rate of change is positive. Second, there is no value for rate of change for period before the time period so we cannot compare rate of change.
