All categories

2 years ago

What is the sum of the geometric sequence 3, 15, 75, … if there are 7 terms? 39,062 58,593 195,312 292,968?

Mathematics

2 answers:

PIT_PIT [208]2 years ago

8 0

Answer:

7th term is 46,875

Step-by-step explanation:

The given geometric sequence is 3, 15, 75.....

Here the first term a1 = 3, common ratio (r) = 15/3 = 5

The nth term an = a1.r^(n-1)

To find the 7th term, plug in n = 7.

a7 = 3. (5)^(7 -1)

a7 = 3.5^6

a7 = 3*15625

a7 = 46,875

Hope this will helpful.

Thank you.

AlexFokin [52]2 years ago

7 0

So to figure out the next number in the sequence you multply the previous number by 5
the first 7 terms are
3, 15, 75, 375, 1875, 9375, and 46875
then ad those all up and you get 58,593

You might be interested in

Marcus has 1,525 marbles and divides the marbles into 15 bags to seal each bag. How many marbles are in each bag and how many ma

Dmitry_Shevchenko [17]

Answer:

There are 101 marbles in each bag and 10 marbles left over

Step-by-step explanation:

We can use the modulus to find out left over. The modulus is the remainder of the division from one number by another number. For example, 7 % 2 = 1. When you divide 7 by 2, division is 3 but the remainder is 1.

1525 % 15 = 10 marbles are left over

Now, we know that 1525 - 10 = 1515 marbles are equally put into each bag. That means each bag contains

1515 / 15 = 101 marbles

8 0

2 years ago

My bro’s got me I’m giving brainliest

sergeinik [125]

Answer:

260 I think...?

Step-by-step explanation:

6 0

2 years ago

how do you find the false of x for 7x+3? I’m sorry I’m not too smart when it comes to math. I mean I know you divide the 7 on ea

stiv31 [10]

Hi are you trying to get x by itself?

8 0

2 years ago

Please help will give lot of points

Nana76 [90]

Answer:

Step-by-step explanation:

Graph:

7 0

2 years ago

A certain bridge arch is in the shape of half an ellipse 106 feet wide and 33.9 feet high. At what horizontal distance from the

nata0808 [166]

Answer:

The horizontal distance from the center is 49.3883 feet

Step-by-step explanation:

The equation of an ellipse is equal to:

$\frac{x^2}{a^{2} } +\frac{y^2}{b^{2} } =1$

Where a is the half of the wide, b is the high of the ellipse, x is the horizontal distance from the center and y is the height of the ellipse at that distance.

Then, replacing a by 106/2 and b by 33.9, we get:

$\frac{x^2}{53^{2} } +\frac{y^2}{33.9^{2} } =1\\\frac{x^2}{2809} +\frac{y^2}{1149.21} =1$

Therefore, the horizontal distances from the center of the arch where the height is equal to 12.3 feet is calculated replacing y by 12.3 and solving for x as:

$\frac{x^2}{2809} +\frac{y^2}{1149.21} =1\\\frac{x^2}{2809} +\frac{12.3^2}{1149.21} =1\\\\\frac{x^2}{2809}=1-\frac{12.3^2}{1149.21}\\\\x^{2} =2809(0.8684)\\x=\sqrt{2809(0.8684)}\\x=49.3883$

So, the horizontal distance from the center is 49.3883 feet

8 0

3 years ago