The question as presented is incomplete, here is the complete question with the multiple choice:
The sequence a1 = 6, an = 3an − 1 can also be
written as:
1) an = 6 ⋅ 3^n
2) an = 6 ⋅ 3^(n + 1)
3) an = 2 ⋅ 3^n
4) an = 2 ⋅ 3^(n + 1)
The correct choice is option 3) an = 2⋅3^n.
If we look at the initial sequence an = 3⋅an-1, and
a1 = 3⋅a0 = 6
a0 = 6/3
a0 = 2
We can now look at the sequence.
a0 = 2
a1 = 6
a2 = 18
a3 = 54
etc...
A common factor in each of those numbers is 2, so we can rewrite the sequence by factoring out 2.
a0 = 2⋅1
a1 = 2⋅3
a2 = 2⋅9
a3 = 2⋅27
The numbers being multiplied by 2 are all factors of 3. So we can rewrite the sequence again as:
a0 = 2⋅3^0
a1 = 2⋅3^1
a2 = 2⋅3^2
a3 = 2⋅3^3
This sequence can now be rewritten as an = 2⋅3^n.
Answer:
Step-by-step explanation:
x represents how many miles after the pick-up. we add on 3.50 because that is the intial pick-up price. then the cost has to be under 30 because she only has 30 dollars
The answer is (x-5) (x-1)
Answer:
1. 5lb bag is cheaper
2. 6 mpm (minutes per miles)
3. Brycen
4. 18 mpm faster
5. 32 total shapes
6. 75
7. not enough info
8. 50 miles
9. 2
10. 2
Step-by-step explanation:
3lb=$3.54=1lb=$1.18
5lb=$5.85=1lb=$0.85
12 minutes/2 miles=6 mpm
24 minutes/1 mile=24 mpm
24-6=18 mpm faster
25% of 100= 4
4×8=32
60% of 80= 75
process of elimination:
24.5 is less than 35 so no
50×.7=35, total miles is 50