Neptune is 77.76 times farther from the Sun than Mercury is.
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.
1 answer:
Answer:
b. an = 2 • (-3)^(n - 1)
Step-by-step explanation:
Before we test a solution or two, we can easily discard most of them.
We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign). <u>That already excludes answers A and C.</u>
Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.
We can test both D and B with n = 2, to obtain -6
Let's test answer D before:
The result is -54, not -6... so it's not the right result.
Let's test answer B then:
Right! Let's verify with n=5 to get 162:
Confirmed, answer is B. an = 2 • (-3)^(n - 1)
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Let's look at each part of the equation. We need to first convert the inches to feet then multiply it by 60 to get per hour.
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100÷12
8 1/3
We need to then multiply it by 60 to find per hour.
8 1/3×60= 500
Let's put the equation together, we'll need parenthesis.
To convert inches to feet, we need to divide by 12.
100÷12
8 1/3
We need to then multiply it by 60 to find per hour.
8 1/3×60= 500
Let's put the equation together, we'll need parenthesis.