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3 years ago

What are the next 3 terms to this sequence? 2, 6, − 4, 10, − 14, − 24...

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

8 0

Answer:

-38, 62, -100

Step-by-step explanation:

I think you meant a +24, not the -24.

The recursive formula is a_n = a_(n-2) - a_(n-1)

so. we try this 3 times after the -24 term

a_3 = -4 = 2 - 6 = a_1 - a_2

...

a_6 = a_4 - a_5 = 10 - (-14) = 24

a_7 = a_5 - a_6 = -14 - (24) = -38

a_8 = a_6 - a_7 = 24 - (-38) = 62

a_9 = a_7 - a_8 = -38 - 62 = -100

a_10 = a_8 - a_9 = 62 - (-100) = 162

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The radius of the cone is 7 in and y = 25 in. What is the volume of the cone in terms of π? A cone with a right triangle formed

Lady bird [3.3K]

Answer:

142.1π in³

Step-by-step explanation:

Given that:

The radius (r) = 7 in

The slant height (y) = 25 in

Then the height (x) can be determined by using the Pythagoras rule:

y² = x² + r²

25² = x² + 7²

125 = x² + 49

125 - 49 = x²

x² = 76

x = √76

x = 8.7

The formula for the volume of a cone is;

= 1/3 πr²h

where;

height(h) is calculated as "x" from above = 8.7

Then;

= 1/3 × π × (7 in)² × 8.7 in

= 142.1π in³

5 0

3 years ago

Read 2 more answers

Find the missing side of this right

I am Lyosha [343]

Answer:

Step-by-step explanation:

square of 15 + square of x = square of 21

225 + square of x = 441

441 - 225 = 216

x = 216

6 0

3 years ago

Solve for x under the assumption that x<0. x-5/x<4

AleksandrR [38]

If you would like to solve the inequality x - 5/x < 4, you can do this using the following steps:

x - 5/x < 4
x^2 - 5 < 4x
x^2 - 4x - 5 < 0
(x - 5) * (x + 1) < 0
x < 0
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The correct result would be x = -1.

3 0

3 years ago

What is the cost of 5 pounds of peppers if 4 pounds cost $2.60

sergeinik [125]

2.60

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4 years ago

To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month. Write an equation for the cost (y) b

klasskru [66]

Answer:

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Step-by-step explanation:

y is the total cost

x is the number of months

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Each month would cost an additional $25 per month.

The total cost then would be the sign up fee plus the $25 for each month. Since we do not know the number of months, we will assign x.

So the equation would be:

y = $100 + $25x

3 0

3 years ago