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Aleonysh [2.5K]
2 years ago
5

Write the explicit rule of the arithmetic sequence that has a first term of 3 and a fourth term of 18

Mathematics
1 answer:
mr Goodwill [35]2 years ago
5 0

Answer:

a_{n} = 5n - 2

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 18 , then

a₁ + 3d = 18 , that is

3 + 3d = 18 ( subtract 3 from both sides )

3d = 15 (divide both sides by 3 )

d = 5

Then

a_{n} = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule

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Let f(x) = 5x3 + 3x2 – 3 and g(x) = x2 + X - 5, fin<br> 4) f(x) + g(x)
aleksley [76]

Answer:

f(x)+g(x)=5x^{3} +4x^{2}+x-8

Step-by-step explanation:

Given:

Two functions are given:

f(x)=5x^{3} +3x^{2} -3

g(x)=x^{2} +x-5

Find f(x)+g(x)

Solution:

f(x)+g(x)=(5x^{3} +3x^{2} -3)+(x^{2} +x-5)

f(x)+g(x)=5x^{3} +3x^{2} -3+x^{2} +x-5

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Therefore, the function of f(x)+g(x)=5x^{3} +4x^{2}+x-8

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Một khối kim loại có thể tích 3,2cm3 và cân nặng 22,4g. Hỏi một khối kim loại cùng chất có thể tích là 4,5cm3 cân nặng bao nhiêu
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Answer:

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Một khối kim loại cùng chất có thể tích là 4,5cm3 cân nặng số gam là:

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Step-by-step explanation:

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Read 2 more answers
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