All categories

3 years ago

What is the change in each termof the sequence? 5, -2, -9, -16, -23

Mathematics

1 answer:

nordsb [41]3 years ago

7 0

Answer:

-7

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

-2 - 5 = -7

Check by subtracting the second term from the third term

-9 - (-2) = -9+2 = -7

The common difference is -7

You might be interested in

What is the measure of m? m=? 24 6

Vitek1552 [10]

Answer:

Follow the steps

Step-by-step explanation:

Angle M is 95 degrees.

3 0

3 years ago

(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

5 0

3 years ago

Select all the statements you agree with.

wolverine [178]

The statements that I agree with, with respect to a parallelogram are:

A parallelogram has six sides.
Opposite sides of a parallelogram are parallel.
All angles of a parallelogram have the same measure.
All sides of a parallelogram have the same length.

<h3>What is a parallelogram?</h3>

A parallelogram can be described as the quadrilateral that do contains two pairs with respect to their parallel sides.

It should be noted that the sides that can be found in the parallelogram are usually of the same length and there the sides that can be attributed to a parallelogram is usually 6.

Therefore, the option 1,2,4,5 are correct.

Learn more about parallelogram at:

brainly.com/question/970600

#SPJ1

6 0

1 year ago

Shana took a test with 50 questions. She lost 2 points for each of the 5 questions she got wrong. She got all 3 extra credit que

jeka57 [31]

Answer:

She gained 5 points in overall

Step-by-step explanation:

Shana lost points for each wrong question = 2

So, She lost points for 5 wrong questions = $2 \times 5$

She lost points for 5 wrong questions = 10 points

Now, She gained points for each correct question = 5

So, She gained points for 3 correct questions = $5 \times 3$

She gained points for 3 correct questions =15

So, Overall gain = 15-10 = 5

She gained 5 points in overall

Hence the total number of points gained by her is 5 points

4 0

3 years ago

A person invests 10000 dollars in a bank. The bank pays 4.5% interest compounded

Greeley [361]

The person would have to leave the money in the bank for 7.8 years for it to reach 13,500 dollars.

Step-by-step explanation:

Step 1; First we must calculate how much interest is generated for a single year. The annual interest rate is 4.5% i.e. 4.5% of 10,000 dollars which equals 0.045 × 10,000 = 450 dollars a year. As the years pass, more and more will be put into the account due to interest.

Step 2; For there to be 13,500 dollars in the bank account we need to calculate how much money is added due to interest.

The money needed to be added through interest = 13,500 - 10,000 = 3,500 dollars.

So we need to determine how long it will take for the bank to add 3,500 dollars by adding 450 dollars a year.

The number of years to reach 13,500 dollars = $\frac{3,500}{450}$ = 7.777 years. By rounding this value to the nearest tenth, we get 7.8 years.

7 0

3 years ago

What is the change in each termof the sequence? 5, -2, -9, -16, -23​

What is the change in each termof the sequence? 5, -2, -9, -16, -23