All categories

3 years ago

What is a 15 of the sequence -7, 2, 11, ...? A. 128 B. 110 C. 136 D. 119

Mathematics

1 answer:

gregori [183]3 years ago

3 0

Answer:

D. 119

Step-by-step explanation:

To find the common difference, we take the second term and subtract the first term

2-(-7) = 9

We check by taking the third term and subtracting the second

11-2 = 9

The common difference is 9

The formula for an arithmetic sequence is

an = a1 +d(n-1)

where a1 is the first term, d is the common difference and n is the number of the term in the sequence

a1=-7, d=9 and we are looking for the 15th term so n=15

a15 = -7 +9(15-1)

a15 = -7+9(14)

=-7 +126

= 119

You might be interested in

Solve the system of inequalities by graphing. y< – 5 y≤ – 6x–3

Lorico [155]

Answer: Not too sure. Sorry.

Step-by-step explanation:

6 0

2 years ago

Help!!!! Plssss!!! ASAP

zimovet [89]

Answer:

The y-intercept is (0,-26)

Step-by-step explanation:

Given two points P(a,b) and Q(c,d), the line that passes for both points can be found with the expression

$\displaystyle y-b=\frac{d-b}{c-a}(x-a)$

We'll take the first two points P(34,-52) and Q(51,-65) to find

$y=-\frac{13}{17}(x-34)-52\\ \\y=-\frac{13}{17}x-26$

Let's verify if the third point is on the line:

$y=-\frac{13}{17}68-26=-52-26=-78$

It belongs to the line. To find the y-intercept of the line, we set x to 0

$y=-\frac{13}{17}(0)-26=-26$

The y-intercept is (0,-26)

5 0

3 years ago

A piece of stained glass in the shape of a right triangle has sides measuring 8 centimeters, 15 centimeters, and 17 centimeters.

Mashcka [7]

Answer:

60cm^2

Step-by-step explanation:

1. turn triangle into rectangle measuring 15x8

2. find area of rectangle (area = base*height): 8*15 = 120

3. Find area of triangle (divide rectangle area by 2): 120/2 = 60cm^2

3 0

3 years ago

In the morning before school, Janine spend 1/10 hour making the bed,1/5 hour getting dressed and 1/2 hour eating breakfast. What

padilas [110]

Answer:

4/5 hour . . . . 48 minutes

Step-by-step explanation:

In hours, the total time is ...

... 1/10 + 1/5 + 1/2 = 1/10 + 2/10 + 5/10

... = (1+2+5)/10 = 8/10

... = 4/5

____

You can have a calculator add these numbers for you. Most will report the result as a decimal. There are fraction calculators on-line, if your graphing calculator does not have a fraction display mode.

If you want minutes, multiply the fraction (or decimal) by 60 minutes.

7 0

3 years ago

Suppose the temp is -1 f and drops by 3 f. Explain how to use the number line to find the new temp

juin [17]

This is how you can find the solution

4 0

3 years ago