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lorasvet [3.4K]
4 years ago
6

If an=5n-3 find the common difference​

Mathematics
1 answer:
Hitman42 [59]4 years ago
4 0

Answer:

d = 5

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = a₂ - a₁ = a₃ - a₂ = a_{n} - a_{n-1}

Given

a_{n} = 5n - 3

Generate the first 2 terms of the sequence by substituting n = 1, n = 2

a₁ = 5(1) - 3 = 5 - 3 = 2

a₂ = 5(2) - 3 = 10 - 3 = 7

d = 7 - 2 = 5

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Identify the solution(s) of n2 – 5n = 24.​
bija089 [108]

Answer:

n=-3 or n=8

Step-by-step explanation:

Let's solve your equation step-by-step.

n2−5n=24

Step 1: Subtract 24 from both sides.

n2−5n−24=24−24

n2−5n−24=0

Step 2: Factor left side of equation.

(n+3)(n−8)=0

Step 3: Set factors equal to 0.

n+3=0 or n−8=0

n=−3 or n=8

Answer:

n=−3 or n=8

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Answer:

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Step-by-step explanation:

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Allushta [10]
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According to postal regulations, a carton is classified as "oversized" if the sum of its height and girth (the perimeter of its
sergij07 [2.7K]

Answer:

Square base dimension = 15 inches

Maximum volume = 7200 inches^3

Step-by-step explanation:

V = x^2y ..... eq 1

Let the square base be x and the height y

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Y + 4x = 92

Y= 92 - 4x .....eq 2

Put eq 2 into eq 1

V = x^2 ( 92 - 4x^3)

V= 92x^2 - 4x^3

Using derivatives

V= 184x - 12x^2

V'= 0 = 184x - 12x^2

X(184 -12x)

X=0

X = 184/12 = 15.33 approximately 15 inches

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Answer:

g = 4+2m

Step-by-step explanation:

Grandma is 4 years older than twice mothers age

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