Select the mathematical terms that mean "opposite of". A. reciprocal. B. negative. C. additive inverse. D. multiplicative E. inv
2 answers:
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Answer:
The nth term of the geometric sequence 7, 14, 28, ... is:
Step-by-step explanation:
Given the geometric sequence
7, 14, 28, ...
We know that a geometric sequence has a constant ratio 'r' and is defined by
where a₁ is the first term and r is the common ratio
Computing the ratios of all the adjacent terms
The ratio of all the adjacent terms is the same and equal to
now substituting r = 2 and a₁ = 7 in the nth term
Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:
So this is going to be an exponential equation, which the format is 
, in which a is the initial value and b is the growth/decay rate.
In this case, a is going to be 340,000 and b is going to be 107%, or 1.07, since the population is going to be increasing by 7% and the equation is now
.
Now replace x with 12 and solve.
Solve
, and then if you don't round that answer and multiply it with 340000 you get 
.
In this case, a is going to be 340,000 and b is going to be 107%, or 1.07, since the population is going to be increasing by 7% and the equation is now
Now replace x with 12 and solve.
Solve