What’s the 84th term of the arithmetic sequence -5, 15, 35

Mathematics

1 answer:

Mrac [35]3 years ago

7 0

Answer:

Step-by-step explanation:

15-(-5) = 20 and 35-15=20 so d=20

$a_n=a_1+d(n-1)\\\\a_1=-5\\d=20\\\\a_{84}=-5+20(84-1)=-5+20\cdot83=-5+1660=1655$

You might be interested in

Write the equation of the circle with center (5, 1) and radius r = 10

kherson [118]

The standard equation for the circle is:

(x-h)^2+(y-k)^2=r^2, where (h,k) is the center of the circle and r is the radius.

We are given that the center is (5,1) and r=10 so

(x-5)^2+(y-1)^2=100

4 0

3 years ago

Question 13 (4 points) (05.03) Which of the following statements best describes the graph of -5x + 2y = 1? (4 points)

alexandr1967 [171]

Answer:

C) straight line through (1, 3) ... (-3, -7)

Step-by-step explanation:

The linear equation will describe a straight line. The slope and general location of the line on a graph can be estimated from its x- and y-intercepts.

<h3>intercepts</h3>

The x-intercept is the value of x that satisfies the equation when y=0.

-5x +2·0 = 1

x = -1/5 . . . . . . divide by the coefficient of x

The y-intercept is the value of y that satisfies the equation when x=0.

-5·0 +2y = 1

y = 1/2 . . . . . . divide by the coefficient of y

<h3>nature of the graph</h3>

The intercept values mean the line crosses the positive y-axis and the negative x-axis. It will have a positive slope. Points on the line that have integer x- and y-coordinates will have coordinates that have the same sign.

Of the offered answer choices, A and B are eliminated because the graph is <em>not a curve</em>. D is eliminated because the suggested points have coordinates with <em>opposite signs</em>. The correct choice is C:

It is a straight line joining the points (1, 3), (3, 8), and (-3, -7)