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beks73 [17]
4 years ago
10

What is the explicit formula for the sequence? -7,-4,-1,2,5

Mathematics
2 answers:
valentinak56 [21]4 years ago
8 0

Answer:

y = -7 + 3(n-1)

Step-by-step explanation:

The basic formula for an explicit formula is:

a_{n} = a_{1} + d(n-1)

The first term is clearly -7 and the common difference is 3 because each term is 3 more than the term before it:

a_{n} = -7 + 3(n-1)

Archy [21]4 years ago
5 0

an =a1+d(n-1)

a1=-7

d= -4--7=-4+7=3

an =-7+3(n-1)

or

an = -7+ 3n-3

an=-10+3n

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Answer:

y-intercept of f(x) = 1

y-intercept of g(x) = 1

The slope of f(x) = 1.5

The slope of g(x) = 2

Step-by-step explanation:

 x   :   0    2    4

f(x) :   1     4    7

The table x , f(x) represents a linear function

The linear function has the form y = mx + c

where m is the slope and c is y-intercept

m = (y₂-y₁)/(x₂-x₁) = (7-4)/(4-2) = 3/2 = 1.5

y-intercept is the value of y at which x = 0

From the table at x = 0 ⇒y= f(x) = 1 ⇒ c = 1

∴ f(x) = 1.5x + 1

And given g(x) = 2x + 1

We will Compare the y-intercepts and slopes of the linear functions f(x) and g(x)

y-intercept of f(x) = 1

y-intercept of g(x) = 1

The slope of f(x) = 1.5

The slope of g(x) = 2

So, y-intercept of f(x) = y-intercept of g(x) = 1

And The slope of g(x) is greater than The slope of f(x)

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Answer:

If you are solving for the variable (g): 8 = g

Step-by-step explanation:

I'm not sure but it sounds like maybe you need to solve for the variable (g).

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Subtract (1/8)g from both sides to begin to isolate the variable (g).

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To get rid of the fraction, let's multiply by 8 on both sides.

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