A barrel, initially filled with 32 gallons of water, is leaking at a constant rate. The table below shows the number of gallons
1 answer:
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Answer:
Option C is incorrect.
Step-by-step explanation:
An infinite series is given by m + b, 2m + b, 3m + b, 4m + b, ... .
A) The above sequence is given by f(x) = mx + b for x = {1, 2, 3, ......}
For, x = 1, f(x) = m + b
For, x = 2, f(x) = 2m + b
.............
So, this is a valid definition of the above sequence.
B) The above sequence is given by f(x) = 2m + b + m(x - 2) for x = {1, 2, 3, ......}
For, x = 1, f(x) = 2m + b - m = m + b
For, x = 2, f(x) = 2m + b + 0 = 2m + b
.............
So, this is a valid definition of the above sequence.
C) The above sequence is given by for n = {1, 2, 3, ......}
For, n = 1,
For, n = 2,
.............
So, this is not a valid definition of the above sequence.
D) The above sequence is given by and
for n = {1, 2, 3, .........}
For, n = 1,
For, n = 2,
.............
So, this is a valid definition of the above sequence.
Therefore, option C is incorrect. (Answer)