All categories

3 years ago

Given the sequence -2,-8/3,-10/3,-4,-14/3 find the recursive formula

Mathematics

1 answer:

balu736 [363]3 years ago

3 0

Step-by-step explanation:

-2, -8/3, -10/3, -4, -14/3

Write as multiples of 1/3.

-6/3, -8/3, -10/3, -12/3, -14/3

This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.

Therefore, the recursive formula is:

aᵢ₊₁ = aᵢ − 2/3, a₁ = -2

You might be interested in

Find the area of the shaded region.

True [87]

Answer:

B. x^2-10

Step-by-step explanation:

Your are trying to find the shaded region

You can see that the x by x square would be "full" if not for the 2 by 5 chunk that has been taken out of it

Therefore you can find the area by subtracting the 2 by 10 "chunk" out of the total area of the x by x square

Equation:

(x*x)-(2*5)

x^2-10

The answer is B

6 0

3 years ago

A plant has a height of 8 1/4 inches what is the height of the plant after it grows 1 7/8 inches?

zaharov [31]

10 1/8 inches. .............................

8 0

3 years ago

Read 2 more answers

Find the solution c+(4-3c)-2=0

MatroZZZ [7]

C=<span>1 is the answer my good man have a good day :)</span>

8 0

3 years ago

Read 2 more answers

Find the perimeter of the figure 35 in. 34 in. 70 in. 84 in.

Yuri [45]

Answer:

p=8in+8in+12in+7in

=35 in

8 0

3 years ago

Read 2 more answers

Solve for the equation, show all your work. This is an absolute value equation. You need to show both equations and the work for

VMariaS [17]

Answer:

$x=-1$ or $7$

Step-by-step explanation:

We use casework on when $3x-9=12$ and when $3x-9=-12$ .

For the first case, $3x-9=12$ , we add 9 to both sides to get

$3x=21$ .

Dividing both sides by 3 gives

$x=7.$

For the second case, $3x-9=-12$ , we add 9 to both sides to get

$3x=-3$ .

Dividing both sides by 3 gives

$x=-1$ .

Checking both cases, we plug in $x=7$ and $x=-1$ .

For the first case, we have $|3(7)-9|=|21-9|=|12|=12$ , which satisfies the equation.

For the second case, we have $|3(-1)-9|=|-3-9|=|-12|=12$ , which also satisfies the equation.

This gives us two solutions to the equation; $x=7$ and $x=-1$ .

4 0

2 years ago