All categories

3 years ago

Find the eighth term of a geometric sequence for which a,3 = 35 and r= 7.

Mathematics

1 answer:

Alenkinab [10]3 years ago

8 0

Answer:

588245.

Step-by-step explanation:

nth term = an = a1 r^(n-1) where a1 = the first term

a3 = 35 = a1 7^(3 - 1)

35 = a1* 49

a1 = 35/49 = 5/7

So the 8th term = (5/7)* (7)^7

= 588245

You might be interested in

Simplify the following numerical expressions.

Aleksandr-060686 [28]

Answer:

|7| - 7 = 0

2|-7| = 14

(-7)^2 = 49

-7-|-7|= -14

-7-1-71= -79

Step-by-step explanation:

3 0

3 years ago

There are 5 candy canes for every 9 presents. How many candy canes are there when there are 108 presents

Ksju [112]

Answer:

When there are 108 presents, there are 60 candy canes

Step-by-step explanation:

candy canes : presents = 5:9

5/9 = x/108

cross multiply:

(5) (108) = 9x

540 = 9x, divide both sides by 9

x = 60

5 0

2 years ago

4q=52 wats the answer to this equation

Darya [45]

4q=52

divide by 4 for both sides

4q/4= 52/4

q= 13

Answer : q=13

6 0

3 years ago

What is the value of 6 + 2x when x = 5? (A) 4 (B) 13 (C)16 (D) 40

jasenka [17]

so x=5

substituting for x in the equation we get:

$6+2 \times 5 \\ = 6 + 10 = \\ = 16$

Ans C: 16

4 0

3 years ago

What is an equation of the line that passes through the points (-6, -2) and

den301095 [7]

Answer:

The equation of line is: $\mathbf{4x-3y=-18}$

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?

The equation of line in slope-intercept form is: $y=mx+b$

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=-6,y_1=-2, x_2=-3, y_2=2$

Putting values and finding slope

$Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}$

So, we get slope: $m=\frac{4}{3}$

Finding y-intercept

Using point (-6,-2) and slope $m=\frac{4}{3}$ we can find y-intercept

$y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6$

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope $m=\frac{4}{3}$ and y-intercept b = 6 is

$y=mx+b\\y=\frac{4}{3}x+6$

Now transforming in fully reduced form:

$y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18$

So, the equation of line is: $\mathbf{4x-3y=-18}$

6 0

2 years ago

Find the eighth term of a geometric sequence for which a,3 = 35 and r= 7.​

Find the eighth term of a geometric sequence for which a,3 = 35 and r= 7.