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:
No, it's not equivalent
Step-by-step explanation:
Try and solve the one with the bracket first. Expand 8(15-r) : 8x15 and 8x-r = 120 - 8r
Therefore, the equation can now be written as:
6r-r + 120-8r + 23-6
Rearrange the like terms together and solve the equation:
6r-r-8r + 120+23-6 = -3r + 137
Answer:
$5.60
Step-by-step explanation:
Multiply the price of your book, $69.95 by the tax .08
69.95 x 0.08 = 5.596, rounded up to 5.60
Is there suppose to be a image before I don’t get it.