Recursive formula for a geometric sequence with a starting value of 8 and a common ratio of 5
1 answer:
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Step-by-step explanation:
Since
The function has a constant factor so we have a exponential function.
The equation of a exponential function is
Where a is the initial value and b is the growth factor
The growth factor is 3/2,
The initial value in 32
Plug in 4 for x.
You will get 162
Plug in 5 for x you will get
243.
2013- 162
2014- 243
Answer: Choice D
b greater-than 3 and StartFraction 2 over 15 EndFraction
In other words,
b > 3 & 2/15
or
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Explanation:
Let's convert the mixed number 2 & 3/5 into an improper fraction.
We'll use the rule
a & b/c = (a*c + b)/c
In this case, a = 2, b = 3, c = 5
So,
a & b/c = (a*c + b)/c
2 & 3/5 = (2*5 + 3)/5
2 & 3/5 = (10 + 3)/5
2 & 3/5 = 13/5
The inequality is the same as
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Let's multiply both sides by 15 to clear out the fractions
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Now isolate the variable b
Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how
47/15 = 3 remainder 2
The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.