All categories

4 years ago

Write a formula to describe the sequence

Mathematics

1 answer:

Dominik [7]4 years ago

8 0

Answer:

Step-by-step explanation:

A(n) = 1 - 0.1(n-1)

A(1) = 1- 0.1*(1-1) = 1 - 0.1*0 = 1

A(2) = 1- 0.1*(2-1) = 1 - 0.1*1 = 1- 0.1 = 0.9

A(3) = 1 - 0.1(3-1) = 1 - 0.1*2 = 1-0.2=0.8

Method:

A(1)=1

D = A(2)-A(1) = 0.9 - 1 = -0.1

A(n) = A(1)+(n-1)*d = 1 + (n-1)*(-0.1)

= 1 - 0.1(n -1)

You might be interested in

Find the measure of each angle.

Galina-37 [17]

Given:

Given that the isosceles trapezoid JKLM.

The measure of ∠K is 118°

We need to determine the measure of each angle.

Measure of ∠L:

By the property of isosceles trapezoid, we have;

$\angle K+\angle L=180^{\circ}$

$118^{\circ}+\angle L=180^{\circ}$

$\angle L=62^{\circ}$

Thus, the measure of ∠L is 62°

Measure of ∠M:

By the property of isosceles trapezoid, we have;

$\angle L \cong \angle M$

Substituting the value, we get;

$62^{\circ}=\angle M$

Thus, the measure of ∠M is 62°

Measure of ∠J:

By the property of isosceles trapezoid, we have;

$\angle J \cong \angle K$

Substituting the value, we get;

$\angle J =118^{\circ}$

Thus, the measure of ∠J is 118°

Hence, the measures of each angles of the isosceles trapezoid are ∠K = 118°, ∠L = 62°, ∠M = 62° and ∠J = 118°

4 0

3 years ago

18. Solve the quadratic equation by using the graph. Look at screenshot

Rasek [7]

Step-by-step explanation:

As seen from the graph, the curve crosses the x-axis when x = -1 and x = 1. The y-intercept of the curve is -1.

Hence, the quadratic equation of the curve is y = x^2 - 1.

3 0

3 years ago

What is the value of 7^2 x 7^0

sineoko [7]

The answer is 49

Hope this helps

7 0

3 years ago

Read 2 more answers

-0.111c + 1 = 0.889c

Elena-2011 [213]

Answer:

-0.111c + 1 = 0.889c = c=1

Subtract 0.889c from both sides:

−0.111c+1−0.889c=0.889c−0.889c

−c+1=0

Subtract 1 from both sides.:

−c+1−1=0−1

−c=−1

Divide both sides by -1.:

-c/1 = -1/-1

Therefore, your answer is c=1

7 0

3 years ago

Mplify the expression: | 5q + 84 - 94 + 84

Leto [7]

Answer:

5q+74

Step-by-step explanation:

84+84=168

168-94=74

7 0

3 years ago