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amid [387]
3 years ago
5

Which ratio is equivalent to 12: 54 ? a. 3/13 b. 6/24 c.24/104 d.36/162

Mathematics
1 answer:
Brut [27]3 years ago
6 0
It would be D.) 36/162

When you multiply 12 by 3, you get 36. You multiply the same number, 3, by 54 to get 162.

This means that the ratio is equivalent.
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3 ft* 12 inches in a ft= 36 inches total

8/36= 2/9

Final answer: 2/9
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melisa1 [442]

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

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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

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3 years ago
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Answer:

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Step-by-step explanation:

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