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wallsdeandre25521
23.09.2019 •
Mathematics
Identify the sequence graphed below and the average rate of change from n = 1 to n = 3. coordinate plane showing the point 2, 8, point 3, 4, point 4, 2, and point 5, 1.
answer choices:
an = 8(1/2)^n − 2; average rate of change is −6
an = 10(1/2)^n − 2; average rate of change is 6
an = 8(1/2)^n − 2; average rate of change is 6
an = 10(1/2)^n − 2; average rate of change is −6
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Ответ:
The first term of the sequence is
the second
the third term
the fourth term
the fifth term
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:
thus the average rate of change is (4-16)/2=-12/2=-6
average rate of change=-6
Ответ:
happy birthday chap have a good one