All categories

3 years ago

The formula for the nth term of the arithmetic sequence first term is 9 common difference is -2

Mathematics

1 answer:

Yanka [14]3 years ago

3 0

Answer:

$a_n = 9 - 2(n-1)$

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and is called common difference.

The nth term is given by the following equation:

$a_n = a_1 + (n-1)d$

In which $a_1$ is the first term and d is the common difference.

First term is 9 common difference is -2

This means that $a_1 = 9, d = -2$

So, the nth term is given by:

$a_n = a_1 + (n-1)d$

$a_n = 9 + (n-1)(-2)$

$a_n = 9 - 2(n-1)$

You might be interested in

A rental car company charges $15/day for a rental car plus 20¢ for every mile driven that day. Which equation models the relatio

nikdorinn [45]

<span>R=15d+0.20R=15d+0.20 is the answer</span>

4 0

3 years ago

Read 2 more answers

In a certain clinical study, 15% of participants were classified as heavy smokers, 25% as light-smokers, and the rest as non-smo

Natasha_Volkova [10]

Answer:

There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.

Step-by-step explanation:

We have the following probabilities:

A 15% probability that a participant is classified as a heavy smoker.

A 25% probability that a participant is classified as a light smoker.

A 100% - 25% - 15% = 60% probability that a participant is classified as a non smoker.

A x% probability that a non smoker dies.

A 3x% probability that a light smoker dies.

A 5x% probability that a heavy smoker dies.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

This problem is:

What is the probability of the participant being a non-smoker, given that he died?

P(B) is the probability that the participant is a non smoker. So

$P(B) = 0.6$

P(A/B) is the probability that the participant dies, given that he is a non smoker. So:

$P(A/B) = x$

P(A) is the probability that the participant dies:

$P(A) = P_{1} + P_{2} + P_{3}$

$P_{1}$ is the probability that a heavy smoker is selected and that he dies. So:

$P_{1} = 0.15*5x = 0.75x$

$P_{2}$ is the probability that a light smoker is selected and that he dies. So:

$P_{2} = 0.25*3x = 0.75x$

$P_{3}$ is the probability that a non-smoker is selected and that he dies. So:

$P_{3} = 0.60*x = 0.60x$

The probability that a participant dies is:

$P(A) = P_{1} + P_{2} + P_{3} = 0.75x + 0.75x + 0.60x = 2.10x$

The probability of the participant being a non-smoker, given that he died, is:

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.6x}{2.10x} = \frac{0.6}{2.10} = 0.2857$

There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.

7 0

3 years ago

What is the volume of a rectangle prism that has a length of 2cm width of 3cm and a height of 5cm

nexus9112 [7]

Answer:

Step-by-step explanation:

V=lwh

V=2*3*5

V=6*5

V=30

4 0

3 years ago

Read 2 more answers

Pls help i feel like im doing it right but i wanna make sure

Svetllana [295]

Answer:

-43

Step-by-step explanation:

1. -3 x -3 x -3 = -27

2. -27- 4 x 4

3. -27- 16 = -43

3 0

3 years ago

How do you factor binomials using difference of squares?

Ket [755]

I have solved some examples in the picture

If anything is unclear let me know.

6 0

2 years ago