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3 years ago

Which of the following is the general term for the sequence

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

7 0

This is an example of a geometric sequence. To find for the nth term, we use the formula:

an = a1 r^(n – 1) ---> 1

Where:

a1= 1st term of the sequence = -a

r = common ratio

To find for the common ratio r, we divide the 2nd term with the 1st term (we can also divide the 3rd term with the 2nd term; we can use any 2 terms as long as they are in succession.)

r = a^2 / -a

r = -a

Substituting a1 and r in equation 1:

an = -a (-a)^(n-1)

Therefore the answer:<span> <span>B) -a(-a)n-1</span></span>

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What is the quotient of the following? 22.578 ÷ 2.13

lilavasa [31]

The quotient is 10.6 the answer is B.

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3 years ago

Name each set of numbers illustrated.

shtirl [24]

A. Natural Numbers
B. Whole Numbers
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3 years ago

Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How

Ilya [14]

Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).

The distance between two points with coordinates $(x_1,y_1)$ and $(x_2,y_2)$ can be calculated using formula

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.$

Therefore, the distance between Jacob and Sharon is

$D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.$

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4 years ago

Venla is 5 years older than her cousin Kora. How old is Kora when Venla is 18 years old?

krek1111 [17]

Answer:

kora is 13

Step-by-step explanation:

venla is 5 years older than kora

18-5=13

5 0

3 years ago

Read 2 more answers

Write a function in the form y=mx+b for the line that contains the points (-6.4, -2.6) and (5.2, 9)

allsm [11]

First solve for the slope, m using the two points given. It doesn't matter which point you choose as point 1 or 2 as long as you're consistent.

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

point 1: (–6.4, –2.6)

point 2: (5.2, 9)

m = (9 - -2.6)/(5.2 - -6.4)
m = (9 + 2.6)/(5.2 + 6.4)
m = 11.6/11.6
m = 1

put the newly found slope into the linear equation for m

y = (1)x + b
y = x + b

Now solve for the y-intercept, b
by putting one of the given points

9 = 5.2 + b

b = 9 - 5.2
b = 3.8

final equation:

y = x + 3.8

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3 years ago