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4 years ago

The term to term rule of another sequence is multiply by 2 and add 3 .

Mathematics

1 answer:

Rashid [163]4 years ago

3 0

Answer:

The first term = 2

Step-by-step explanation:

As the term to term rule of another sequence is:

Multiply by 2 and add 3.

3rd term = 17

then

4th term = 17×2 + 3 = 37

5th term = 37 ×2 + 3 = 77

6th term = 77 ×2 + 3 = 157

7th term = 157 ×2 + 3 = 317

following this pattern

3rd term = 7×2 +3 = 17

2nd term = 2 ×2 +3 = 7

1st term = -0.5 ×2 +3 = 2

You might be interested in

a millionaire leaves 4/17 of his estate to his son, 7/13 to his wife, 2/3 to his daughter and the remaining 2 million to his dog

ss7ja [257]

Comment
I'm going to do this two ways, one using a calculator and one not.
Let the total amount of his estate be x.

Equation and Solution
If you have a calculator with an a b/c key on it you can do this problem easily, or at least the fractional part will be easy.

First: develop the equation
(4/17) x + (7/13)x + 2/3 x + 2 000 000

Solve the equation
Use the a b/c key on your calculator if you have one. If not go down the second solution part. Put a fraction in as follows.
4 a b/c 17 + 7 a b/c 13 + 2 a b/c 3 =
You should get 1 r 16 r 51
What this translates into is 1 292 / 663 of x
or 955/663 x + 2000000

So the total of fhis estate is
(955/663) x + 2000000 <<<< answer In decimal form you get
1,44 x + 2000000 <<<< answer in decimal.

Note: you cannot solve this to the exact amount of his estate because the fractional amount exceeds x which assumed to be the total amount of his estate.

By hand
Find the ;lowest common denominator of 13 17 and 3. Since all of them are prime numbers the lowest common denominator is 13 * 17 * 3 = 663
\
Next set up the 3 fracttions so the denominator = 663
4 / 17 =( 4 * 13 * 3) / 663 = 156 / 663

7/13 = 7 * 17*3 / 663 = 357 / 663

2/3 = 2*13 * 17 / 663 = 442 / 663

Now add these up 156/663 + 357/663 + 442/663 = 955 / 663 This is irreducible
This fraction is over 1 so it cannot represent the total amount in his estate. It is too large.

(955/663)x + 2000000 <<<<<< fractional answer
1.44x + 2000000 < decimal answer.

3 0

3 years ago

Read 2 more answers

Nina can stitch 2/3 of a dress in 4 hours. If d represents the number of dresses and h represents the number of hours, which equ

Ronch [10]

Answer:

The answer is A.

Explanation:

A is true because 2/3 of a dress takes a full four hours. That means 1/3 is finished every 2 hours. So if you add both 4 and 2 together you get 6 hours :)

Hope this helped

3 0

2 years ago

The president of a computer company must decide whether to place the company's new laptop on the market now or wait another year

Elanso [62]

Answer:

The president should release the new laptop now

Step-by-step explanation:

The profit if the new laptop is released now and no competitive device enters the market = $120,409.00

The profit if the new laptop is released now and a competitive device enters the market = $29,698

The profit if the new laptop is released in a years time and no competitive device enters the market = $84,742.00

The loss if the new laptop is released in a years time and a competitive device enters the market = $59,396.00

The chance that a competitive device will enter the market = 22%

∴ The chance that a competitive device will not enter the market = 1 - 22% = 78%

The expected increase in profit the company can make, compared to next year, if the new laptop is released and no competitive device enters the market = ($120,409.00 - $84,742.00) × 78% = $27,820.26

The expected increase in profit the company can make, compared to next year, if the new laptop is released and a competitive device enters the market = ($29,698.00 - $59,396.00)×0.22 = ($6,533.56) loss

Therefore, to maximize the expected profit over the next year, the president should release the new laptop now to make an expected profit of $27,820.26 over the next year.

5 0

3 years ago

Helpppppp me please

motikmotik

I believe it’s 100 hopefully it helps

6 0

4 years ago

3y - 15 =y + 1 solve for y

USPshnik [31]

A n s w e r:

y = 8

Hope this helps!

8 0

3 years ago