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3 years ago

Two terms in a geometric sequence are a5=15 and a6=1. What is the recursive rule that describes the sequence?

Mathematics

1 answer:

Drupady [299]3 years ago

4 0

Answer:

Rule = 759375(1/15)^(n-1)

Where n represent the number of term

Step-by-step explanation:

a5= ar^4= 15

a6= ar^5= 1

ar^4=15... Equation 1

ar^5=1.... Equation 2

Dividing equation 2 by equation 1

r= 1/15

For the value of a

ar^5=1

a(1/15)^5= 1

a(1/759375)= 1

a= 759375

Rule = 759375(1/15)^(n-1)

Where n represent the number of term

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Use the figure to identify each pair of angles as complementary angles, supplementary angles, vertical angles, or none of these.

maxonik [38]

(a) Complementary angles

(b) Vertical angles

(c) Supplementary angles

<u>Explanation:</u>

Complementary angles are those two angles whose sum is 90 degrees.

Supplementary angles are those two angles whose sum is 180 degrees.

Vertical angles are the angles opposite each other when two lines cross.

(a)

Angles 1 and 5 are complementary angles

(b)

Angles 3 and 5 are vertical angles

(c)

Angles 3 and 4 are supplementary angles

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3 years ago

A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past

Volgvan

Answer: We reject the null hypothesis, and we use Normal distribution for the test.

Step-by-step explanation:

Since we have given that

We claim that

Null hypothesis : $H_0:\mu\geq 50000$

Alternate hypothesis : $H_1:\mu$

There is 5% level of significance.

$\bar{X}=46800\\\\\sigma=9800\\\\n=29$

So, the test statistic would be

$z=\dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\z=\dfrac{46800-50000}{\dfrac{9800}{\sqrt{29}}}\\\\z=-1.75$

Since alternate hypothesis is left tailed test.

So, p-value = P(z≤-2.31)=0.0401

And the P-value =0.0401 is less than the given level of significance i.e. 5% 0.05.

So, we reject the null hypothesis, and we use Normal distribution for the test.

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3 years ago

matt can buy an 8-ounce jar of salsa for $2.79 or a 15-ounce jar os salsa for $5.54. which jar has the best unit rate?

oee [108]

8/2.79 = 1/2.867, or $2.86 per each oz
15/5.54 = 2.707/1, or 2 oz for every 1 dollar

the 15 oz jar of salsa has the better unit rate

hope this helps

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2 years ago

In the equation y/6 = 156, what is the next step in the equation solving sequence

Tpy6a [65]

Answer:

Linear Equations In One Variable =

Next step :

in the equation y/6 = 156, it would be equivalent to y = 156 × 6.

so that :

y = 156 × 6

y = 936

this equation solved. (Answer : 936)

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