# geometric

1. ### Geometric Distribution Probability

According to the law of conditional probability, P(A∩B) = P(A|B)P(B) so for a geometric distribution, P(X>k+j|X>k) = P(X>k+j∩X>k)/P(X>k) P(X>k+j∩X>k) = P(X>k+j) because if X>k+j, then X>k (because j is a positive integer) <--- Why is this so, why X>k+j, then X>k?
2. ### Geometric Distribution

Hi, wondering if anyone could help me out with the question below! Let X have a geometric distribution. Show thatP(X >k+j|X >k)=P(X >j), where k and j are nonnegative integers. Note: We some-times say that in this situation there has been loss ofmemory.
3. ### question about finding a term in a geometric sequence

A problem asks to find S6 for a geometric sequence starting with 4 with a common ratio 2. The answer given is: 252 I thought use the equation: an = a1 * r(n-1) so: an = 4 * 2(6-1) .....but this appears wrong according to the answer. Can someone help? (Headbang)
4. ### Geometric Proofs Disappearing

Why are more and more high schools across the USA doing away with direct and indirect geometric proofs? Why do students struggle so much with proofs?
5. ### Geometric Sequence

find the 1st term of geometric sequence whose 4th term and 7th term is 108 and 2,960
6. ### Geometric Series Cos

The question I'm looking at is: \sum_{n=1}^\infty \frac{cos\left(n\pi\right)}{2^n} Find if converge or diverge and if converge find the sum. The only things I have learned so far about series is the nth term test and geometric series. So my first attempt is to is if it diverges using the nth...

Hi! I have a problem about gradient with devaluation. A factory imports 80 tons of raw material paying it at the beginning of each month at US\$200 a ton. The peso depreciates at the rate of 2.5 % a month against the dollar. if the current exchange rate is US\$1 = \\$400pesos, find the total...
8. ### Geometric Series Divergence - # 2

Why does this diverge? How to go about working with this one. Is it a geometric series? It doesn't look like one.
9. ### Geometric Series Divergence

Why is this divergent? Series with n = 1: \dfrac{7n}{(-6)^{n-1}} (\dfrac{7}{1}})\dfrac{7n}{(-6)^{n-1}} ?? r = -\dfrac{7}{6} |r| = \dfrac{7}{6} \geq 1 a = 7 - can be proven by plugging in 1 into the series variable n. Wait I see the error now. Originally I wasn't taking the absolute...
10. ### Diminished Radix Complement (geometric pattern)

So I'm reading about Radix Complements on Wikipedia, and there is a geometric pattern used to prove the following statement: The radix complement is most easily obtained by adding 1 to the diminished radix complement, which is (bn-1)-y. Since bn-1 is the digit b-1 repeated n times because bn-1...
11. ### Geometric Sequence

A geometric sequence has an initial value of 3 and a common ratio of 2. Write a function to represent this sequence.
12. ### Variance of geometric mean

Please help me out !! Suppose Y1, Y2, . . . , Yn is a random sample from the uniform pdf over [0, 1]. find the variance of the geometric mean when n = 2 and more ( a generalized solution).
13. ### Need help with finding limit of a finite Geometric sequence

The sequence is stated as such: √3, 1, √3/3, .... If someone can help me out, that would be great!
14. ### Geometric growth and decay

I need help with this question....If someone can show me the steps on how to it that would be awesome! A small square picture measures 3 1/2 inches by 3 1/2 inches. A photocopier is set to produce copies that are an enlargement of the original such that both the length and width are increased...
15. ### Geometric description

Hello, How would you geometrically describe a subset of W = \{(a-2b,a,a+b)|a,b \in R\} = span \{(1,1,1),(-2,0,1)\} ? Or any span? Thank you. -Sakon
16. ### Need a little bit of help with this geometric sequence.

I am having trouble figuring out what r equals in an=a1rn-1 with the given information. a2 = 7, a4 = 1575. After I get r, it should not be to difficult to get a1 and then the actual formula for any given term. Thank you!
17. ### addition of geometric progression

how the addition of geometric series gives 2 and product gives 40
18. ### Geometric interpretation of complex numbers

Set B is defined as B = {z| |z11|=|i| }. The answer is the unit circle. Why? And what about B = {z| z11=i }
19. ### Geometric interpretation of complex numbers

Set B is defined as B = {z| |z11|=|i| }. The answer is the unit circle. Why? And what about B = {z| z11=i }
20. ### Geometric Series - Converge or Diverge - # 12

Converge or diverge? \displaystyle\sum_{n=0}^{\infty} \dfrac{2^{n+1}}{5^{n}} What would be the strategy in finding r?