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Whitepunk [10]
3 years ago
13

He pattern of numbers below is an arithmetic sequence:

Mathematics
2 answers:
pogonyaev3 years ago
8 0

Answer:

third option

Step-by-step explanation:

Given the arithmetic sequence

14, 24, 34, 44, 54, ....

with f(1) = 14 and common difference d = 24 - 14 = 10

The recursive function allows a term in the sequence to be found by adding d to the previous term, thus

f(n + 1) = f(n) + 10 where f(1) = 14

Archy [21]3 years ago
6 0

Answer:

ccccccccccccccc

Step-by-step explanation:

i think

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Mike hiked to a lake in 4.5 hours at an average rate of 2
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Answer:

It took Pedro  <em>3.81 hours</em> to reach the lake.

Step-by-step explanation:

Time taken by Mike to hike a lake = 4.5 hours

Average rate of Mike while hiking the lake = 2\frac{1}{5}\ miles/hr

Formula for distance can be seen as:

Distance = Speed\times Time

Distance traveled by Mike = 4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles

Rate of Pedro while hiking the same distance = 2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr

Given that, Pedro also travels the same distance.

And we have to find the Time.

Time = \dfrac{Distance}{Speed}

Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}

It took Pedro  <em>3.81 hours</em> to reach the lake.

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