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3 years ago

If 1 mile is equal to 1.61 kilometers, how many kilometers are there in 50 miles

Mathematics

2 answers:

Alik [6]3 years ago

7 0

kilometers and miles are units used to measure distance.

1 mile is equal to 1.61 km

so if 1 mile is equivalent to 1.61 km

then to see how many kilometers are there in 50 miles we have to multiply 50 miles by 1.61 km/mile

therefore the number of km in miles is - 50 miles x 1.61 km/mile = 80.5 km

distance in km - 80.5 km

Rzqust [24]3 years ago

7 0

80.5 is the answer to your question

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Find the explicit formula for the sequence? -1,4,-16,64......

Ede4ka [16]

The explicit formula for given sequence is: $a_n = -1 . (-4)^{n-1}$

Step-by-step explanation:

Given sequence is:

-1,4,-16,64.....

We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.

Here

$a_1 = -1\\a_2 = 4\\a_3 = -16\\a_4 = 64\\r = \frac{a_2}{a_1} = \frac{4}{-1} = -4\\r = \frac{a_3}{a_2} = \frac{-16}{4} = -4$

The explicit formula for geometric sequence is:

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Putting the values of r and a1

$a_n = -1 . (-4)^{n-1}$

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The explicit formula for given sequence is: $a_n = -1 . (-4)^{n-1}$

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

#learnwithBrainly

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3 years ago

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3 years ago

If a(n)=24 which recursive formula could represent the sequence below? <br> ...,24,88,664,8408,...

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24= 3*2^3
88= 11*2^3
664= 83*2^3 -> 83=11+72 = 11 + 2^3*3^2
664=2^3 (11+2^3*3^2) = 88 +(2^3*2^3*3^2) = 88 +(24^2)

8408= 1051 * 2^3 -> 1051= 83+968 -> 968 = 2^3 * 11^2
8408= 2^3 (83+2^3*11^2) = 664 +(2^3*2^3*11^2) = 664 +(88^2)

So:
a(n) = a(n-1) + a(n-2)^2

Lets check: 88+24^2= 664
664+88^2= 8408

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3 years ago