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MA_775_DIABLO [31]
3 years ago
14

the second term in a sequence is 13. the term to term rule is "add 6". write an expression in terms of n, for the nth term of a

sequence
Mathematics
2 answers:
Genrish500 [490]3 years ago
6 0

Answer:

f(n)=6n+5

Step-by-step explanation:

since the second term is 13, we have to subtract 6 to get our first term, 5.

Then we put it together,

I hope this helps you

If it does a thanks (and brainliest trying to level up) would be appreciated, if wrong please leave a comment

NikAS [45]3 years ago
4 0

Answer:

a_{n} = 6n + 1

Step-by-step explanation:

This is an arithmetic sequence with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = a₂ - 6 = 13 - 6 = 7 and d = 6, thus

a_{n} = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1

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Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less
Sergio039 [100]

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The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

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From equation (3)

z + 20 = x + y

Then, k

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42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

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4y + 3y = 126

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y = 126/7

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Substitute this into equation (4)

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x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

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3 years ago
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Answer:

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