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Allushta [10]
3 years ago
5

The first term of a G.p are as follows: m, m^2+4, 16m find the 5th term

Mathematics
1 answer:
Anna35 [415]3 years ago
4 0

Answer:

512

Step-by-step explanation:

In a geometric sequence, the ratio between the second term and the first term is equal to the ratio between the third term and the second term.

(m² + 4) / m = 16m / (m² + 4)

Solve:

(m² + 4)² = 16m²

m² + 4 = 4m

m² − 4m + 4 = 0

(m − 2)² = 0

m = 2

The first three terms of the geometric sequence are therefore 2, 8, 32.

The common ratio is 4, and the first term is 2.  So the 5th term is:

a = 2 (4)⁵⁻¹

a = 512

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Between 4,632 and 20,000 is what number?*
yarga [219]
To find the mid-way number we do this:

find the difference between the highest number and the lowest given number.
Divide the difference by 2
Add that number to the lowest number or subtract that number from the highest number.

20,000 - 4,632 = 15,362
\frac{15,368}{2} = 7,684

4,632 + 7,684 = 12,316
or                                               (we get the same number)
20,000 - 7,684 = 12, 316 

12,316 is between 4,632 and 20,000
7 0
3 years ago
Crackers were on sale 2 for 5.50. I bought three packs, How much did I spend?
MrRissso [65]

Answer:

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Step-by-step explanation:

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1 cracker=5.50÷2

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Find the least common denominator for these fractions.
Elenna [48]

Answer:

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Step-by-step explanation:

7 0
2 years ago
How do you find the original price after a discount. The sales price is 55.50 and the percent of discount is 75%.
Arte-miy333 [17]
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3 years ago
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In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati
umka21 [38]

9514 1404 393

Answer:

  3.61 seconds

Step-by-step explanation:

The bird starts 50 feet in the air, so will come down to a height of 40 feet after 3.61 seconds.

We want to solve h = 40.

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