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3 years ago

Write an explicit formula for the sequence. -4,7,-10,13,-16

Mathematics

1 answer:

scZoUnD [109]3 years ago

7 0

Step-by-step explanation:

Sequence is

If it is Arithmetic sequence,

−

& so on

In the given sum,

−

Since the difference between the successive terms is same and

hence

common difference

You might be interested in

Find a quadratic polynomial each with the given number as the sum and product of its zeros respectively

NARA [144]

Step-by-step explanation:

sum of zeroes = 1/4

product of its zeros = 1

so,

4x^2- x - 4

5 0

3 years ago

Read 2 more answers

Explain why 3/4 of 16 is the same as 3 x 16 divided by 4 Please Help

pogonyaev

Answer:

I know that 3/4 is 75%, and I also know that 3 times 16 is 48. Since I divide 48 by 4, it is the same as multiplying 4 by 3, knowing that it is 25% of 16.

Step-by-step explanation:

Since 3/4 is a fraction, all fractions can be converted into decimals.

3/4 is also known as 75%, which can be simplified into 0.75 in decimal terms.

Now that you know that 3/4 can be simplified to 0.75, you now need to take that 0.75, and multiply it by 16. You can use a calculator to do this, or you could work it out on a sheet of paper.

An easy way to do this, is to know that 25%, (0.25) of 16 is 4. This is because 4 times 4 is 16. Knowing this, if you are looking for 75% of 16, (0.75) you can multiply 4 by 3, knowing that it is 75% of 16.

The answer to that is 12.

3 x 16 = 48 and if you take 48 and divide it by 4, you will get 12.

You can explain this by writing; I know that 3/4 is 75%, and I also know that 3 times 16 is 48. Since I divide 48 by 4, it is the same as multiplying 4 by 3, knowing that it is 25% of 16.

7 0

4 years ago

Orlando invested $16,000 in an eight-year CD bearing 6.5% interest, but needed to withdraw $3,500 after five years. If the CD’s

VMariaS [17]

B is the correct answer. Firstly, you have to work out the amount of interest earned per year by multiplying the sum invested ($16,000) by the interest rate (6.5%, or 0.065). Then multiply the result by eight to find out how much money Orlando would get when the CD reaches maturity if he doesn't withdraw any money. To calculate interest when money is withdrawn, multiply the annual interest by five, to work out how much interest Orlando earns in the first five years. Then work out the interest on the reduced investment ($16,000 - $3,500) in the same way and multiply by three to calculate the remaining three years' interest. Add the total interest for three years to the total interest to five years, which will tell you how much interest Orlando recieves when he makes the withdrawal. Finally, you can now take this away from the interest he would have made if he had not made a withdrawal, and this will tell you the difference.

4 0

4 years ago

Read 2 more answers

Are x = -4 and x = 6 solutions to 5x + 7 < 22? TRUE OR FALSE

DochEvi [55]

Answer:

x=-4 is true, x=6 is not

Step-by-step explanation:

5x + 7 < 22

Plug in our X values

5(-4) + 7 < 22 ?

solve

-20 + 7 < 22

-13 < 22 ?

x=-4 is true.

Repeat steps from ^

5(6) + 7 < 22

30 + 7 < 22

37 < 22 ?

x=6 is not true.

Hope this helped

4 0

3 years ago

Read 2 more answers

If f(x)=7-3x and g(x)=3x-7, what is the value of f(1)-g(1)?

postnew [5]

Substitute 1 for x in each of your equations.

f(x)=7-3x
which is
f(1)=7-3(1)
=3
Do the same for g(x)
g(x)=3x-7
which is
g(1)=3(1)-7
=-4

Then subtract g(x) from f(x):
3-(-4)
=7

:)

6 0

3 years ago