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AysviL [449]
3 years ago
14

What are the next three terms in the sequence 4, -1, -6, -11, ...?

Mathematics
1 answer:
Fynjy0 [20]3 years ago
8 0

Answer:

In summary, "the next three terms" are {-16, -21, -26}

Step-by-step explanation:

Note that the common difference separating the terms of 4, -1, -6, -11, ... is -5.  Each new term is found by combining the previous term with -5.

Thus, the applicable formula is a(n) = 4-5(n-1).

We should test this.  Take the term -6 and determine whether or not this formula correctly predicts the next term:  -11:

a(4) = 4-5(4-1) = 4 - 5(3) = 4 - 15 = -11 (yes).

We have the first four terms and need the 5th, 6th and 7th terms.

The fifth term, a(5), is 4-5(5-1) = 4-20 = -16

The sixth term is a(6) = 4-5(6-1) = -21

The seventh term is a(7) = 4 -5(6) = -26

In summary, "the next three terms" are {-16, -21, -26}

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(бх -Зу = 6<br> (2x-y=-5
BabaBlast [244]

Answer:

6-

Step-by-step explanation:

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3 0
3 years ago
13. Solve for s. 2(s + 7) = 12
Tatiana [17]
2s+14=12
2s=-14+12
2s=-2
s=-2÷2
s=-1
4 0
3 years ago
Read 2 more answers
What is the value of x then find the messures of Angles M and N​
AveGali [126]

Answer:

x=32

Step-by-step explanation:

sum of interior angles of a triangle = 180

add up all angles and equate to 180

(4x-13)+(x+18)+15=180

5x=160

x=160/5=32

x+18  =   32+18    = 50

4x-13  =  4x32-13 = 128-13 = 115

add up all to check whether ans = 180;  15+50+115=180

3 0
3 years ago
Read 2 more answers
Solve x and y 3x-4y=18,9x-2y=12
Rudiy27

Answer:

3x-4y=18

1xy=18

xy=18 ans

4 0
3 years ago
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Pls asap... use trigonometry to find the area of a regular 20- gon with each side = 6 in
irga5000 [103]

Answer:

Area of polygon[20 sides] = 1,140 inch² (Approx.)

Step-by-step explanation:

Given;

Number of sides = 20 sides

Length of each side = 6 inch

Find:

Area of polygon[20 sides]

Computation:

Perimeter of polygon[20sides] = 20 x Length of each side

Perimeter of polygon[20sides] = 20 x 6

Perimeter of polygon[20sides] = 120 inch

Apothem[Shortest distance from center] = S / 2tan[180/n]

Apothem[Shortest distance from center] = 6 / 2tan[180/20]

Apothem[Shortest distance from center] = 6 / 2tan[9]

Apothem[Shortest distance from center] = 18.94

Apothem[Shortest distance from center] = 19 inch (Approx.)

Area of polygon[20 sides] = [Perimeter x Apothem] / 2

Area of polygon[20 sides] = [120 x 19] / 2

Area of polygon[20 sides] = 1,140 inch² (Approx.)

6 0
3 years ago
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