3. 5 • 3^n (1 point)
a.15, 30, 45, 60
b.5, 15, 45, 135
c.0, 15, 45, 135
d.15, 45, 135, 405
is it a. or b.!!!!!?????
i think its b, my parents say b
thx all, I had absolutely no idea what this question was asking so thx. The answer is D
The given expression is a geometric progression, which means that successive terms are obtained by a constant multiplier.
If you look at the quotient between successive terms, (a) does not even give a constant ratio, so (a) is out.
For (c), there is a problem with the first two terms, 15/0 is not a number, so that's out too.
Between (b) and (d), both make geometric progressions according to the given expression, but n starts at 0 for (b) and starts at 1 for (d).
I would go with (b), as most GP start at n=0.
it was d!!!!!
whoa!!!!!
there's no problem with 15/0, since 3^0 = 1. But that also means that (c) is out because 5*3^n cannot ever be zero.
Can't see why you were so surprised at (d), since these sequences usually start with n=1 unless they say otherwise. (b) starts with n=0.
It is d
To solve the expression 5 • 3^n, we need to understand how exponents work. When a number is raised to an exponent, it means that the base number is multiplied by itself the number of times specified by the exponent.
In this case, we have 3^n, which means we need to multiply 3 by itself n times. Let's simplify this for different values of n:
- When n = 0: 3^0 = 1 (Any number raised to the power of 0 is equal to 1)
- When n = 1: 3^1 = 3
- When n = 2: 3^2 = 3 • 3 = 9
- When n = 3: 3^3 = 3 • 3 • 3 = 27
Based on these values, we can see that the expression 5 • 3^n results in a sequence of numbers: 5, 15, 45, 135.
Now, let's look at the answer choices:
a. 15, 30, 45, 60
b. 5, 15, 45, 135
c. 0, 15, 45, 135
d. 15, 45, 135, 405
As we can see, the correct answer is indeed option b. The sequence of numbers resulting from evaluating the expression 5 • 3^n matches the numbers stated in option b: 5, 15, 45, 135.
So, your answer is correct, and your parents are correct as well. It is indeed option b.