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AVprozaik [17]
3 years ago
10

What is the 8th term of the following geometric sequence? 3, 15, 75, 375, …

Mathematics
1 answer:
alexira [117]3 years ago
3 0

a_1=3\\a_2=3\cdot5=15\\a_3=15\cdot5=75\\a_4=75\cdot5=375\\\vdots\\\\\text{The general term of a geometric sequence}\ a_n=a_1r^{n-1}\\\\a_1-first\ term\\r-common\ ratio\\\\a_1=3,\ r=5\\\\\text{substitute}\\\\a_n=3(5^{n-1})\\\\8th\ term\to a_8\\\\\text{Substitute}\ n=8\ \text{to the equation of}\ a_n:\\\\a_8=3(5^{8-1})=3(5^7)=3(78125)=234,375\\\\Answer:\ 8th\ term=234,375

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Six cakes cost £2.40 how much do ten cakes cost
crimeas [40]
There are a few ways to find out the correct answer. One of them is to divide 2.40 by 6 to get a price of one cake and then multiply it by 10:

2.40 ÷ 6 = 0.40
0.40 * 10 = 4.00

Answer: Ten cakes would cost 4 pounds.
4 0
3 years ago
1. Evaluate 3y - 4 for y =5
irina1246 [14]

Answer:

1. Evaluate 3y - 4 for y =5

3*(5)-4=15-4=11

2. 65 + x = 99 x = ?

65+x=99

x=99-65

x=34

3. Find the product. 38.7 *21

38.7*21=812.7

4. Which value satisfies the equation? 9x + 3 = 30

The right value for x would be:

9x+3=30

9x=30-3

9x=27

x=27/9=3

Step-by-step explanation:

3 0
3 years ago
Find the A) slope B) Point Slope equation and C) Slope Intercept form of the line through points (9,18),(-4,14)
Lana71 [14]

Answer:


Step-by-step explanation:

A) Use the slope formula to find the slope  m.


m=4/13


B)  Use the point-slope formula,  y−y1=m(x−x1)  to find the equation of the line.


y=4/13x+198/13


C) Write in slope-intercept form,  y=mx+b.


y=4/13x+198/13





4 0
2 years ago
Xavier ran four miles on his first day of training. The next day he ran eight ninths that distance. How far did he run on the se
serg [7]
Well, it's the product of 8/9 and the 4 miles. The result is 32/9 miles, that is, 3,55 miles.
7 0
3 years ago
So, the area <br> Find the area of the figure of
ch4aika [34]

Answer:

The area of the figure is 117m²

Step-by-step explanation:

In this problem, you have two shapes. One shape is a rectangle. The other shape is a triangle.

Area of a rectangle = b*h = 9*7 = 63

Area of a triangle = \frac{1}{2}(b*h) =

Since there are two triangles, you will multiply the area of the one triangle in the figure by 2.

27*2 = 54

Now, you add up the areas!

54 + 63 = 117

So, the area of the figure is 117m²

7 0
3 years ago
Read 2 more answers
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