All categories

3 years ago

Calculate a57 for the sequence

Mathematics

1 answer:

daser333 [38]3 years ago

7 0

Answer:

A) 78

Step-by-step explanation:

The given sequence is an arithmetic sequence.

Here A1 = -6, common difference = (3/2)

nth term An = a1 + (n -1)d

A57 = -6 + (57 -1)3/2

= -6 + (56)*3/2

= -6 + 28*3

= -6 + 84

A57 = 78

Thank you.

You might be interested in

Fill in the blanks to solve 48 x 8. 48 x 8 = 40 eights + 8 eights

kozerog [31]

Question is:

Fill in the blanks to solve $\frac{48}{x} =8$ .

Answer:

$x = 6$

Step-by-step explanation:

Given

$\frac{48}{x} =8$

Required

Solve

Multiply both sides by x

$x * \frac{48}{x} =8*x$

$48 =8*x$

Make x the subject

$x = \frac{48}{8}$

$x = 6$

4 0

3 years ago

Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of

Salsk061 [2.6K]

Answer:

24ft.

Step-by-step explanation:

Formula: (LxW)/2

6x8=48

48/2=24

answer; 24

3 0

2 years ago

A display case in the shape of a rectangular pyramid has a base that is 1234 inches by 9 inches. It is 8 inches tall. What is th

Jlenok [28]

Answer:

864 cubic inches

Step-by-step explanation:

Complete Question

A display case in the shape of a rectangular pyramid has a base that is 12 inches by 9 inches. It is 8 inches tall. What is the volume of the display case?

The volume of a rectangular pyramid =

Area of the base × Height of the pyramid

Base has dimensions = 12 inches by 9 inches.

Area of the base = 108 square inches

Height of the pyramid = 8 inches

Volume of rectangular pyramid =

Area of the base × Height of pyramid

= 108 square inches × 8 inches

= 864 cubic inches

Therefore, the volume of the display case is 864 cubic inches

3 0

3 years ago

How can you use the point-slope form of a line when only given two points?

pshichka [43]

Answer:

See below

Step-by-step explanation:

Point -slope form is:

y - y1 = m(x - x1)

By having one set of coordinates and knowing the value of the slope (m in the equation) you can use the form.

How to find the slope?

Here you need 2 points: Point 1 with coordinates x1, y1 and point 2 with the coordinates x2, y2

Use the formula:

m = (y2-y1)/(x2-x1)

Example:

m = -5, and one of the points has coordinates (9, 2) then point-slope form is:

y - 2 = -5(x - 9)

3 0

3 years ago

What is the solution to the equation <img src="https://tex.z-dn.net/?f=2x%20-%207%20%3D%206x%20%2B%201" id="TexFormula1" tit

guajiro [1.7K]

Answer:

;lkjjjhhghhhhhhhiokjml,.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers