The common ratio of the given geometric sequence is the number that is multiplied to the first term in order to get the second term. Consequently, this is also the number multiplied to the second term to get the third term. This cycle goes on and on until a certain term is acquired. In this item, the common ratio r is,
r = t⁵/t⁸ = t²/t⁵
The answer, r = t⁻³.
The next three terms are,
n₄ = (t²)(t⁻³) = t⁻¹
n₅ = (t⁻¹)(t⁻³) = t⁻⁴
n₆ = (t⁻⁴)(t⁻³) = t⁻⁷
The answers for the next three terms are as reflected above as n₄, n₅, and n₆, respectively.
Answer: 11/3 as a mixed number is 3 2/3
The number 1000 has three zeros which will move the decimal three times. But what in direction?
Well, when we multiply a number by 10, we move the decimal one place to the left.
So, the answer is three places to the left.
Step-by-step explanation:
We will prove by contradiction. Assume that 
is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that 
. Then, for some integer 
,
Therefore
Here we will use the formula for the sum of odd powers, which states that, for 
and an odd positive number 
,
Applying this formula in 1) we obtain that
.
Then, as 
we have that 
is not a prime number, which is a contradiction.
In conclusion, if is an odd prime, then n must be a power of 2.
22.4/4 = 5.6 cm
5.6^2 = 31.36 cm^2 per side
Since the later surface area only counts for 4/6 sides on the cube, (31.36)(4) = 125.44 cm^2
