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3 years ago

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Explicit formulas Write the first four terms of the sequence {an}n=1 infinity. 9. an=1/10n 11. an = 1 + sin(pin/2) Recurrence re

lations Write the first four terms of the sequence {an} defined by the following recurrence relations. Enumerated sequences Several terms of a sequence {an}n=1 infinity are given. Find the next two terms of the sequence. Find a recurrence relation that generates the sequence (supply the initial value of the index and the first term of the sequence). Find an explicit formula for the general nth term of the sequence. 17. {1. 1/2, 1/4, 1/8, 1/16,....} 19. {1,2,4,8,16,...} 21. {1.3,9,27,81,...}

1 answer:

monitta3 years ago

6 0

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

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Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6

ElenaW [278]

<h2>Answer</h2>

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

Or as ordered pairs: $(\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)$

<h2>Explanation</h2>

Lets solve our system of equations step by step

$x^2+y^2=6$ equation (1)

$x^2-y=6$ equation (2)

1. Solve for $x^2$ in equation (2)

$x^2-y=6$

$x^2=6+y$ equation (3)

2. Replace equation (3) in equation (1) and solve for $y$

$x^2+y^2=6$

$6+y+y^2=6$

$y^2+y=0$

$y(y+1)=0$

$y=0$ or $y=-1$

3. Replace the values of $y$ in equation (3) and solve for $x$

- For $y=0$

$x^2=6+y$

$x^2=6$

$x=\sqrt{6}$ or $x=-\sqrt{6}$

- For $y=-1$

$x^2=6+y$

$x^2=6-1$

$x^2=5$

$x=\sqrt{5}$ or $x=-\sqrt{5}$

So, the solutions of our system of equation are:

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

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3 years ago

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Find the volume of the cone.

Alona [7]

answer:

2,558

step-by-step explanation:

the formula for the volume of a cone is v=πr²h/3

with that let us 'fill in' the formula-

v=π*9.6²*26.5/3

v=2,557.51

then since you've asked us to round the answer to the nearest whole number that would be 2,558

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

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3 years ago

1. What is the area of the triangle below?<br> 10 in.<br> 7 in.

Alex787 [66]

Hi

<u>The area of a triangle is </u>

$\cfrac{base*height}{2}$

If we plug in the given values, we get:

$\frac{10*7}{2}$

Multiply in the numerator:

$\frac{70}{2}$

Divide:

$35$

Therefore, the area of the triangle is 35 inches squared.

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2 years ago

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A 12-issue magazine subscription costs $36. What is the average cost per issue of the magazine?

Natasha2012 [34]

$3
its like a pack of 12 magazines costing $36 and you asked the cost of one magazine
by proportion; let average be=?
12~$36
1~?
1/12=?/36
?=(1/12)*36
?=3=average

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3 years ago

9 coins that equal 76 cents

Korvikt [17]

3 quarters and 1 penny

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3 years ago

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