Answer:
- an = 3(-2)^(n-1)
- 3, -6, 12, -24, 48
Step-by-step explanation:
These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.
a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.
a1 = 3 (given)
a2 = a1×r = 3×(-2) = -6
a3 = a2×r = (-6)(-2) = 12
a4 = a3×r = (12)(-2) = -24
a5 = a4×r = (-24)(-2) = 48
The first 5 terms are 3, -6, 12, -24, 48.
__
The explicit formula for the terms of a geometric sequence is ...
an = a1×r^(n -1)
Using the given values of a1 and r, the explicit formula for this sequence is ...
an = 3(-2)^(n -1)
Answer:
x2 - 5x - 6 + -23/x-3Step-by-step explanation:
Answer:
As j decreases, the expression increases.
Step-by-step explanation:
As j decreases, the expression will increase. This is because once it becomes a lower number, it will subtract less from 150, and it will soon eventually add towards with 150, if j is negative.
Hope this helps!
Answer:
She will need to buy 3 packs to make 6 different balloon animals.
Step-by-step explanation:
Given that the balloon artist wants to make 6 different animals, and each animal involves using 4 balloons, to make those 6 animals she must use 24 balloons, as the following calculation shows:
6 x 4 = 24
Now, since the balloons come in packs of 8 units, to make those 6 animals she must buy 3 packs of balloons, as this calculation also shows:
24 / 8 = 3.
