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3 years ago

Given the arithmetic sequence -9,-4, 1, 4,... Which term has a value of 166?

Mathematics

2 answers:

mars1129 [50]3 years ago

6 0

Answer:

36th term

Step-by-step explanation:

The nth term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = - 4 - (- 9) = - 4 + 9 = 5 , then

$a_{n}$ = - 9 + 5(n - 1) = - 9 + 5n - 5 = 5n - 14

Equate the nth term to 166 and solve for n

5n - 14 = 166 ( add 14 to both sides )

5n = 180 ( divide both sides by 5 )

n = 36

earnstyle [38]3 years ago

3 0

jimrgrant1 made this so give him the credit, i put it here because his was reported

Answer:

36th term

Step-by-step explanation:

The nth term of an arithmetic sequence is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = - 4 - (- 9) = - 4 + 9 = 5 , then

= - 9 + 5(n - 1) = - 9 + 5n - 5 = 5n - 14

Equate the nth term to 166 and solve for n

5n - 14 = 166 ( add 14 to both sides )

5n = 180 ( divide both sides by 5 )

n = 36

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(-3,-5) (2,5) Midpoint

BabaBlast [244]

Answer:

$\left(-\frac{1}{2},\:0\right)$

Step-by-step explanation:

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$\left(x_1,\:y_1\right)=\left(-3,\:-5\right),\:\left(x_2,\:y_2\right)=\left(2,\:5\right)\\\\Refine$

$=\left(-\frac{1}{2},\:0\right)$

4 0

3 years ago

What is the area of a blanket that is 2.25 m long and 1.8 m wide

ioda

The answer is 4.08. The reason is you have to multiply 2.25 and 1.8

4 0

4 years ago

Read 2 more answers

Use the Empirical Rule to determine the percentage of candies with weights between 0.7 and 0.98 gram. Hint: x=0.84

Lubov Fominskaja [6]

Using the Empirical Rule, it is found that 95% of the candies have weights between 0.7 and 0.98 gram.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Researching this problem on the internet, we have that:

The mean is of 0.84.

The standard deviation is of 0.07.

Then 95% of the candies have weights between 0.7 and 0.98 gram, as:

0.7 = 0.84 - 2 x 0.07.

0.98 = 0.84 + 2 x 0.07.

More can be learned about the Empirical Rule at brainly.com/question/24537145

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2 years ago

Mrs. Epps buys 500 bags of balloons for the high school prom for $250. What is the cost per bag?

Finger [1]

$2- 500 divided by 250

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3 years ago

The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain after 2000 years? Preview mg Giv

d1i1m1o1n [39]

Answer:

$a_{n}$ =209.09 mg

Step-by-step explanation:

given: material= radium

half life= 1590 years

initial mass $a_{0}$ =500mg

we know that to calculate the amount left we use

$a_{n}$ = $a_{0}$ $\left ( 0.5\right )^{n}$

$n=\frac{2000}{1590} = 1.2578$

therefore

$a_{n}$ = $500\times0.5^{1.2578}$

$a_{n}$ =209.09058407921 mg

$a_{n}$ =209.09 mg amount left after 2000 years

4 0

4 years ago