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Shtirlitz [24]
3 years ago
15

The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first 12 terms of the correspondi

ng series? A. 2,125,760 B. 6,377,288 C. 236,192 D. 708,584
Mathematics
1 answer:
Leokris [45]3 years ago
4 0

Answer:

2,125,760

Step-by-step explanation:

The first term (a) is 8

The fourth term is 216

Hence the sum of the first 12 term can be calculated as follows

= 8-8(3)^12/1-3

= 8-24^12/-2

= 2,125,760

The sum of first 12 terms is 2,125,760

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Step-by-step explanation:

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2 years ago
Solve the system<br> 4x + 2y = 10<br> x = y + 13
Maslowich

Answer:

x = 6

y = -7

Step-by-step explanation:

We have the system of equations:

4x+2y=10\\x=y+13

Let's solve by substituting. We know that x=y+13, so we can substitute y+13 in as x in the equation 4x+2y=10.

4(y+13) + 2y = 10

Simplify this down so that we have y on one side of the equation:

4y + 52 + 2y = 10\\\\6y + 52 = 10\\\\6y = -42\\\\y = -7

Now that we know the value of y, we can substitute it in to the equation x = y+13 to find x.

x = -7+13\\\\x = 6

Hope this helped!

3 0
3 years ago
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Solnce55 [7]
Total amount of muffins: 3×6= 18 muffins.

Amount of muffins without nuts:
total amount of muffins - muffins with nuts
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6 0
3 years ago
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If $5000 was invested at a rate of 5%, how many years would it take to triple if it is compounded daily
maw [93]

Answer:

If your money earns a 5 percent interest rate, it will triple in 23 years (115 divided by 5 equals 23).

Step-by-step explanation:

3 0
3 years ago
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Answer:

B. -7

Step-by-step explanation:

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This makes your answer B, -7.

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3 years ago
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