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Complete the steps to write an explicit formula that
represents the sequence.
1. Find the slope of the line that passes through the
points given in the table. The slope is
Use one of the given points to find the y-
intercept. Substitute values for x, y, and m into
the equation y = mx + b and solve for b. The y-
intercept is
3. Write the formula as a function of n in slope-
intercept form. The function is
for n in the set of natural
numbers.

Respuesta :

306554

Answer:

Find the slope of the line that passes through the points given in the table. The slope is 5.

Use one of the given points to find the y-intercept. Substitute values for x, y, and m into the equation y = mx + b and solve for b. The y-intercept is 1.

Write the formula as a function of n in slope-intercept form. The function is

f(n) = 5n+1  for n in the set of natural numbers.

fichoh

The explicit formula representing the tabulated data written in slope - intercept form is f(n) = 5n + 1

The explicit formula is in the form :

  • y = mx + b
  • m = slope

From the table :

Slope = Rise / Run = (21 - 6) / (4 - 1) = 15 / 3 = 5

To obtain the intercept, b :

Pick any pair of values : (1, 6)

Substitute into the equation :

6 = 5(1) + b

6 = 5 + b

b = 6 - 5

b = 1

Therefore, the explicit formula is written as f(n) = 5n + 1

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