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Naily [24]
3 years ago
15

1,1,1,3,5,9,17,31.....

Mathematics
1 answer:
Brums [2.3K]3 years ago
7 0

Answer:

2020

Step-by-step explanation:

The rule that this sequence follows is that each number is the sum of the last three numbers:

1+1+1=3

1+1+3=5

1+3+5=9

3+5+9=17

5+9+17=31

We can see that every number is going to be odd because they are always the sum of three odd numbers, and three odd numbers always add up to be another odd number (odd+odd+odd=even+odd=odd).

Therefore, if all the numbers in the sequence are odd, all the numbers before the 2021st number will be odd, so our answer is 2020.

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Akimi4 [234]

Answer:

x = 8

Step-by-step explanation:

m<PQR = (2x + 6)°

m<RPQ = (x - 7)°

m<QRS = (5x - 17)°

<PQR and <RPQ are interior angles opposite to the exterior angle <RPQ.

Therefore,

m<PQR + m<RPQ = m<QRS (Exterior Angle Theorem of a Triangle)

Substitute in the values

2x + 6 + x - 7 = 5x - 17

Add like terms

3x - 1 = 5x - 17

Collect like terms

3x - 5x = 1 - 17

-2x = -16

-2x/-2 = -16/-2

x = 8

7 0
3 years ago
Kamal bought 7 7 packs of paper clips for a project. Then he bought 8 8 more packs. There are 25 25 paper clips in each pack. Ho
Anon25 [30]

Hello, here is the answer!

Answer: 375


Step-by-step explanation: 7+8=15

15x25=375

375 paper clips


6 0
3 years ago
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Sedaia [141]

Answer:

first triangle (to left) b=8, second one c=17

Step-by-step explanation:

for the first triangle (one to the left) the hypotenuse is 9, so let's use the pythagorean formula.

A^2   +  B^2  = C^2

^              ^          ^

^              ^         Hypotenuse

^        second side

first side

Substitute:

5^2 + b^2 = 9^2

SImplify:

25+b^2 = 81

Reduce:

b^2 = 64

Simplify:

b=8

In the second triangle, we are given 2 sides.

Let's do the same thing we did in the first one.

Givens:

A = 8

B = 15

Find:

C

Substitute:

8^2 + 15^2 = c^2

Simplify

64 + 225 = c^2

Reduce:

289 = c^2

Let's now square root both sides

square root of 289 is 17

so we are left with this:

c=17

Phew, you did it!

Hope this helped :))

4 0
3 years ago
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lisov135 [29]
The result is 1/3 (-6 + x)
3 0
3 years ago
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Jordan is 4 feet 8 inches tall. Her mom is 5 feet 10 inches tall. How much taller is Jordan's mother than Jordan? Give your answ
Anastaziya [24]

Answer:

1 ft 2 in

Step-by-step explanation:

Subtract each foot and each inch

6 0
3 years ago
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