We move all terms to the left:
+31x+32)-((+5)=0
So your answer is 0
It represents a geometric sequence because it has a common ratio of 2.
In fact, a sequence is said to be geometric if any two adjacent elements are in the same ratio. In other words, if you choose any index
and consider the two consecutive terms
and
, you have

no matter which index you chose. In your case, the next term in the sequence is always the double of the previous one, so the ratio between two consecutive terms is always 2, and the series is geometric with common ratio 2
Answer:
1. 1*9^(10-1) = 387,420,489
2.2*4^(10-1) = 524,288
Step-by-step explanation:
The explicit formula for a geometric sequence is a1 * r^n-1
Where a1 is your first term, r is your ratio, and n is the amount of terms you want in the sequence
To solve for the 10th number in the sequence, we simply plug 10 in for n.
Hope this helps
X+6 less than or equal to 10
X+14 greater than or equal to 18
Answer:
μ ≈ 2.33
σ ≈ 1.25
Step-by-step explanation:
Each person has equal probability of ⅓.
![\left[\begin{array}{cc}X&P(X)\\1&\frac{1}{3}\\2&\frac{1}{3}\\4&\frac{1}{3}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7DX%26P%28X%29%5C%5C1%26%5Cfrac%7B1%7D%7B3%7D%5C%5C2%26%5Cfrac%7B1%7D%7B3%7D%5C%5C4%26%5Cfrac%7B1%7D%7B3%7D%5Cend%7Barray%7D%5Cright%5D)
The mean is the expected value:
μ = E(X) = ∑ X P(X)
μ = (1) (⅓) + (2) (⅓) + (4) (⅓)
μ = ⁷/₃
The standard deviation is:
σ² = ∑ (X−μ)² P(X)
σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)
σ² = ¹⁴/₉
σ ≈ 1.25