Given the following geometric sequence, find the 12th term: {2, -4, 8, ...}.

2 answers:

8 0

Use formula: an = a1 * r^(n-1)
a1 = 2, r = -2
a12 = 2 * -2^(12-1)
a12 = 2 * -2^11
a12 = 2 * -2048
a12 = -4096

Solution: -4096

Ainat [17]3 years ago

3 0

Answer: -4096

Step-by-step explanation:

I just did the lesson

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Answer:

a) $P(X=13)=(24C13)(0.4)^{13} (1-0.4)^{24-13}=0.0608$

$P(X=17)=(24C17)(0.4)^{17} (1-0.4)^{24-17}=0.0017$

$P(X=13 U X=17) = 0.0608+0.0017=0.0624$

b) $P(X \geq 17)=0.000427$

c) $P(X \geq 16)= 1-0.000427=0.9996$

d) $E(X)= np = 22*0.4=8.8$

e) $Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=24, p=0.4)$