2 years ago

What is the explicit formula for this sequence? -7,-3,1,5

Mathematics

1 answer:

uranmaximum [27]2 years ago

6 0

Answer:

$a_{n}$ = 4n - 11

Step-by-step explanation:

These are the terms of an arithmetic sequence with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

d = - 3 - (- 7) = 1 - (- 3) = 5 - 1 = 4

and a₁ = - 7, hence

$a_{n}$ = - 7 + 4(n - 1) = - 7 + 4n - 4 = 4n - 11

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The area of a rectangular window is 6525cm2. If the length of the window is 87cm, what is its width?

nataly862011 [7]

Answer:

width= 75 cm

Step-by-step explanation:

We need to recall the formula to calculate the area of a rectangle, since we are dealing with a rectangular window:

Area of rectangle = width * length

therefore, since they give us the window's area: 6525 $cm^2$ , and also the window's length: 87 cm, we just need to replace those values in the area formula and solve for the unknown "width". We do such by dividing both sides of the equation by 87 cm in order to isolate the unknown on one side of the equal sign;