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3 years ago

URGENT HOMEWORK HELP!!

Mathematics

1 answer:

DedPeter [7]3 years ago

7 0

Answer:

Step-by-step explanation:

The common difference is simply the constant we add/subtract each time. In this case, the common difference is 3/2 as can be seen from the recursive formula. In other words, each new $n$ will be 3/2 larger than the previous.

The answer is A.

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The 2nd, 6th, 8th terms of an A.P. form a G.P. , find the common ratio and the general term of the G.P.

melisa1 [442]

The terms of an arithmetic progression, can form consecutive terms of a geometric progression.

The common ratio is: $\mathbf{r = \frac{a + 5d}{a + d}}$
The general term of the GP is: $\mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}$

The nth term of an AP is:

$\mathbf{T_n = a + (n - 1)d}$

So, the <em>2nd, 6th and 8th terms </em>of the AP are:

$\mathbf{T_2 = a + d}$

$\mathbf{T_6 = a + 5d}$

$\mathbf{T_8 = a + 7d}$

The <em>first, second and third terms </em>of the GP would be:

$\mathbf{a_1 = a + d}$

$\mathbf{a_2 = a + 5d}$

$\mathbf{a_3 = a + 7d}$

The common ratio (r) is calculated as:

$\mathbf{r = \frac{a_2}{a_1}}$

This gives

$\mathbf{r = \frac{a + 5d}{a + d}}$

The nth term of a GP is calculated using:

$\mathbf{a_n = a_1r^{n-1}}$

So, we have:

$\mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}$

Read more about arithmetic and geometric progressions at:

brainly.com/question/3927222

6 0

3 years ago

Cindy's cylindrical paint bucket has a diameter of 12 inches and a height of 14.5 inches. If 1 gallon = <img src="https://tex.z-

ser-zykov [4K]

Answer:

Base area is 113.14 inches²

Volume is 1640.75 inches²

Number of gallons is 7.1 gallons

Step-by-step explanation:

Please refer to the attached image for explanations

7 0

3 years ago

Help please on this one

tia_tia [17]

The decimal 68.145 written as a fraction is 68145/1000

6 0

3 years ago

Read 2 more answers

I need help ASAP, all help is appreciated

navik [9.2K]

Answer:

55 degrees

Step-by-step explanation:

Looking you can see these two angles are parallel. Knowing that, since angle GHE is 55 DEC must be 55 also.

- Hope that helps! Please let me know if you need further explanation.

6 0

3 years ago

Help help help help help

dem82 [27]

I believe it should be B because it says one more than twice the number so that means addition. Also it says twice the number so that should be 2w.
I’m not 100% sure but it is my best guess

7 0

3 years ago