Answer:
Proved (See Explanation)
Step-by-step explanation:
Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is done as follows
From laws of indices;
aᵐ⁺ⁿ = aᵐ * aⁿ.
So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.
becomes
Factorize
3ⁿ * 5
5(3ⁿ)
<em>The expression can not be further simplified.</em>
<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>
Answer:
A.
Step-by-step explanation:
$0.25 = 5 bottles
Divide both sides by 5:
$0.05 = 1 bottle
Last week: $12.75
12.75 = 0.05b where b represents bottles
Divide all by 0.05 to get b alone:
255 = b
Answer: WVX and TSV
Step-by-step explanation:
Answer:
Next 2 terms: 0, 3
Step-by-step explanation:
The patter in +3, +3, -3, -3
-3 + 3 = 0
0 + 3 = 3
3 - 3 = 0
0 - 3 = -3
-3 + 3 = 0
0 + 3 = 3