Find the 8th term of the arithmetic sequence - 2x + 7,4x + 1, 10x – 5, ...
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Answer:
Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of
Step-by-step explanation:
Function A:
Function B:
Required
Which has a greater rate of change
The rate of change of function A is calculated as thus:
Where:
So, we have:
For function B
The general function is:
Where
m is the rate of change
By comparing to
So, we have that:
Function A has a rate of -5; function B has a rate of -4.5.
By comparison: -4.5 is greater than 5
Hence, function B has a greater rate.