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Virty [35]
2 years ago
15

Given a term and the common ratio of a geometric sequence find the first five terms and

Mathematics
1 answer:
Lina20 [59]2 years ago
3 0

Answer:

a_{n} = -16/27(2/3)^{n-1}

Step-by-step explanation:

Given :-

a₅ = -16/27

r = 2/3

To Find :-

nth term

Solving :-

a₅ = ar⁴ = -16/27

a = -16/27 x (3/2)⁴

= -16/27 x 81/16

= -3

Solution :-

a_{n} = -16/27(2/3)^{n-1}

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Answer:

Heidi (260 cookies)

Step-by-step explanation:

Megan's equation is given as y=8x, where x is the number of bags, and y the number of cookies:

#First calculate Heidi's total number of bags, cookies and cookies:

H_b=\sum{bags}\\\\=10+12+14+16\\\\=52 \ bags\\\\H_c=\sum{cookies}\\\\=50+60+70+80\\\\=260 \ cookies

#Given that both Heidi and Megan make the same number of bags of cookies, Megan's cookies totals to:

H_b=M_B=52 \ Bags\\\\M_c=y=8x, x=52\\\\y=8\times 52\\\\=416\\

Hence, Megan makes 416 cookies.

#From our calculations:

416>260\\\\M_c>H_c

Hence, Heidi makes the least number of cookies(260 cookies) compared to Megan's 416 cookies.

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3 years ago
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Step-by-step explanation:

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What is an expression for vector x involving vector r, vector s, and vector t?
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The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t
AnnyKZ [126]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

x - 10

The second number in terms of x:

4x

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

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Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

19 - 10 = 9

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2 years ago
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