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gizmo_the_mogwai [7]
3 years ago
5

Hello i would like help and the answer to this please; what is the nth term rule of

Mathematics
1 answer:
Paraphin [41]3 years ago
7 0

Answer:

The nth term of the given sequence

a_{n} = a_{n-1} + (2n-1)

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given sequence  -5,-4,-1,4,11,20,31

a₀ = -5

a₁ = a₀ +1 = -5 +1   = -4

a₂ = a₁ + 3 = -4+3  = -1

a₃ = a₂ + 5 = -1 +5 = 4

a₄ = a₃ + 7 = 4 + 7  =11

a₅ = a₄ + 9 = 11+9 = 20

a₆ = a₅ + 11 =  20+11 = 31

a₇ = a₆ + 13 = 31 +13 =44

and so on

The nth term of the given sequence

a_{n} = a_{n-1} + (2n-1)

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How to do this question plz answer my question step by step plzz plz plz plz ​
never [62]

Answer:

40°, 95°, 105°, and 160°

Step-by-step explanation:

Let the smallest angle be x.

Measures of the 3 angles can be expressed as:

x + 55

x + 65

x + 120

The sum of all angles in a quadrilateral = 360°.

Therefore, (x + 55) + (x + 65) + (x + 120) = 360

Solve for x

x + 55 + x + 65 + x + 120 = 360

3x + 240 = 360

3x + 240 - 240 = 360 - 240

3x = 120

\frac{3x}{3} = \frac{120}{3}

x = 40

The smallest angle = 40°

Plug in the value of x in the earlier stated expressions to find the measure of the other angles:

x + 55 = 40 + 55 = 95

x + 65 = 40 + 65 = 105

x + 120 = 40 + 120 = 160

3 0
3 years ago
A tarp is used to keep the infield of a baseball field from getting wet. The infield is a square. The corners of the square tarp
Dafna11 [192]

Answer:

<h2>a. 2,025 ft</h2><h2>b. 8,100 is a perfect square. </h2>

Step-by-step & explanation:

<em>It is a perfect square because if it wasn't, it wouldn't be equally a whole number when divided by 4 or 2,025 exactly on ALL 4 sides and when finding the root of 8,100 it's a perfect 90.  As you should already know a perfect square has a given 90 degree angle.</em>

Tarp = 8,100 sq ft.

- anchored corners at the base.

- Square infield.

Well if there's 4 bases, divide 8,100 by 4.

8,100 / 4 = 2,025

One base to another base is 2,025 ft.

8 0
3 years ago
Please help me, I have no idea what to do
DochEvi [55]

Answer:

when x equals -3 y equals -23

when x equals 0, y equals -8

when x equals 3, y equals 7

when x equals 6, y equals 22

Step-by-step explanation:

6 0
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