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4 years ago

Question 16....please help me out

Mathematics

1 answer:

Varvara68 [4.7K]4 years ago

5 0

Answer:

Persian-Maine Coon-American Shorthair

Step-by-step explanation:

If you look back at the question, you will see the numbers 13.65,13.07, and 13.6. So, we'll do this by digits.

The first digit of all the numbers is 1. So we'll move on. The second digit is a3, of which all numbers have in common. So we'll move on again. So now ur down to the digits 6, 0, and 6. Well, 13.07 belongs to the Persian. Then You'll see a 6, which belongs to the Maine coon. Lastly, you have another 6, which goes to the American shorthair. Correct me if i'm wrong :-)

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An = a1 + (n - 1)d

yarga [219]

Answer:

The car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

Step-by-step explanation:

Given that a car travels 300 meters in the first minute, so

a₁ = 300

Each minute after, the car travels 120 meters. , so the sequence becomes

a₁, a₂, a₃, a₄, a₅, ...

300, 420, 540, 660, 780, ...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

computing the differences of all the adjacent terms

$20-300=120,\:\quad \:540-420=120,\:\quad \:660-540=120,\:\quad \:780-660=120$

The difference between all the adjacent terms is the same and equal to $d=120$

now, we have

a₁ = 300

d = 120

so substituting a₁ = 300 and d = 120 in the nth term of the sequence

$a_n=a_1+\left(n-1\right)d$

$a_n=120\left(n-1\right)+300$

$a_n=120n+180$

Thus, the nth term of the sequence is:

$a_n=120n+180$

<u>Determining the distance the car travels in 15 minutes</u>

As we have already determined the nth term of the sequence such as

$a_n=120n+180$

now substituting n = 15

$a_{15}=120\left(15\right)+180$

$a_{15}=1800+180$

$a_{15}=1980$

Therefore, the car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

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Arlecino [84]

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julsineya [31]

Answer:

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Step-by-step explanation:

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