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:
the current converson rate for euros to dollars is $1 (USD) = 0.91 Euros
so 55 euros would equal about 60.60 USD...
in other words, that better be one nice shirt
Step-by-step explanation:
38 , because since its 90 degrees at exact, your subtract 90 from 52 and you would get 38 for your x value
Answer: 280 cm
Step-by-step explanation:
The base of each of the congruent triangles ABD and CBD is BD= 28 cm. The height of each is the perpendicular 10cm.
A=(2)(bh/2) works out to A= bh since the 2/2 cancel
So 10cm × 28cm = 280cm²
Idk b, im stuck on the same thing