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3 years ago

Find an explicit formula for the geometric sequence -40,-20,-10......

Mathematics

1 answer:

garik1379 [7]3 years ago

3 0

Answer:

The explicit formula for the geometric sequence is $c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}$ .

Step-by-step explanation:

By definition of geometric sequence, we should use the following expression:

$c(n) = c_{1}\cdot r^{n-1}$ , $n \ge 1$ (1)

Where:

$c_{1}$ - First term.

$r$ - Geometric rate.

$n$ - Position of the element within the series.

If we know that $c_{1} = -40$ and $r = \frac{1}{2}$ , then the explicit formula for the geometric sequence is:

$c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}$

The explicit formula for the geometric sequence is $c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}$ .

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For some postive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770. The value of Z is

Talja [164]

Answer:

1.16

Step-by-step explanation:

Given that;

For some positive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770.

This implies that:

P(0<Z<z) = 0.3770

P(Z < z)-P(Z < 0) = 0.3770

P(Z < z) = 0.3770 + P(Z < 0)

From the standard normal tables , P(Z < 0) =0.5

P(Z < z) = 0.3770 + 0.5

P(Z < z) = 0.877

SO to determine the value of z for which it is equal to 0.877, we look at the

table of standard normal distribution and locate the probability value of 0.8770. we advance to the left until the first column is reached, we see that the value was 1.1. similarly, we did the same in the upward direction until the top row is reached, the value was 0.06. The intersection of the row and column values gives the area to the two tail of z. (i.e 1.1 + 0.06 =1.16)

therefore, P(Z ≤ 1.16 ) = 0.877

8 0

3 years ago

Evaluate the expression for a = 5, b = 11, and c = 3. 2a + 2c(b − 5) A. 64 B. 46 C. 54 D. 163

Artemon [7]

2a +2c(b-5)

substitute a=5 b=11 c=3

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Choice B

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An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation f(x)

34kurt

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Step-by-step explanation:

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3 years ago

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AlexFokin [52]

Answer:

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Step-by-step explanation:

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