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3 years ago

I can’t figure out which formula goes with which sequence. Help……. Please???

Mathematics

1 answer:

Radda [10]3 years ago

7 0

For a geometric sequence

a, ar, ar ², ar ³, …

the n-th term in the sequence is ar ⁿ ⁻ ¹.

The first sequence is

1, 3, 9, 27, …

so it's clear that a = 1 and r = 3, and so the n-th term is 3ⁿ ⁻ ¹.

The second sequence is

400, 200, 100, 50, …

so of course a = 400, and you can easily solve for r :

200 = 400r ==> r = 200/400 = 1/2

Then the n-th term is 400 (1/2)ⁿ ⁻ ¹.

Similarly, the other sequences are given by

3rd: … 4 × 2ⁿ ⁻ ¹

4th: … 400 (1/4)ⁿ ⁻ ¹

5th: … 5ⁿ ⁻ ¹

6th: … 1000 (1/2)ⁿ ⁻ ¹

7th: … 2 × 5ⁿ ⁻ ¹

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3x^3-8y^2 pls someone help

Natalija [7]

Answer:

3x^3 -8y^2

Step-by-step explanation:

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6 0

3 years ago

You have $80. Jeans costs $29 and shirts $12. Mom told you to buy one pair of jeans and use the rest of the money to buy shirts.

SIZIF [17.4K]

You can buy 4 shirts because you bought one pair of jean (80 - 29 = 51) and so with the leftover money you could buy 4 shirts because (12 x 4 = 48) and then you'd have a leftover 3 dollars.

8 0

4 years ago

(Worth 30 points) What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term

kolbaska11 [484]

Answer:

$a_n=5-2(n-1)$ , all integers where n≥1

Step-by-step explanation:

we know that

The explicit equation for an arithmetic sequence is equal to

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

a_n is the th term

a_1 is the first term

d is the common difference

n is the number of terms

we have

$a_1=5\\a_2=3$

Remember that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference.

To find out the common difference subtract the first term from the second term

$d=a_2-a_1=3-5=-2$

substitute the given values in the formula

$a_n=5-2(n-1)$

The domain is all integers for $n\geq 1$

3 0

3 years ago

The Kellogg Company periodically compares sales across departments. In one particular instance, they would like to determine if

alex41 [277]

Answer:

H₀: μs = μf

H₁: μs ≠ μf

Step-by-step explanation:

Hello!

If the company wants to compare the sales of both departments "snacks" and "frozen foods" to see if there is any difference, the best is to compare the average number of sales of them.

Then the parameters of interest will be:

μs= average number of sales of the "snacks" department.

μf= average number of sales of the "frozen food" department.

The objective is to test if there is any difference between both departments, then the hypothesis should be two-tailed:

H₀: μs = μf

H₁: μs ≠ μf

I hope it helps!

7 0

3 years ago

A list of numbers is given 32,16,8,4,2,1 Write a rule for the pattern

Sphinxa [80]

It is subtracting the current number by 1/2 OR you can divide by 2. each time.

32 / 2= 16
16 / 2=8
8/2=4
4/2=2
2/2=1

Hope this helped!

5 0

3 years ago

Read 2 more answers