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tangare [24]
3 years ago
13

Consider the arithmetic sequence where the 12th term is 41 and the 4th term is 1. a. Find the formula of the nthterm of the sequ

ence. b. Find the sum of the first 20 terms.
Mathematics
1 answer:
svlad2 [7]3 years ago
3 0
The common difference is 6. The first term is x−d=37−6=31.
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Solve for x. 3^x−1=9^x+2 <br> Enter your answer in the box.
slava [35]

Answer:

-5 =x

Step-by-step explanation:

3^(x-1) = 9^(x+2)

Replace 9 with 3^2

3^(x-1) = 3^2^(x+2)

We know that a power to a power means the powers are multiplied

a^b^c = a^(b*c)

3^(x-1) = 3^(2x+2)

When the bases are the same, the powers have to be the same

x-1 = 2x+4

Subtract x from each side

x-x-1 =2x-x+4

-1 =x+4

Subtract 4 from each side

-1-4 =x+4-4

-1-4 = x

-5 =x

4 0
3 years ago
What is the next term in the following sequence?
baherus [9]

Answer:

i not good at this but i think 2 6 18 54 could be the answer if not im so sorry

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Write an expression that represents the value in cents of n nickels
erma4kov [3.2K]
An expression does not have an equal sign.
Since the value of a nickel is 5 cents and you want to find out the value of n nickels (which means if you had any number of nickels) the expression would be
.05n
8 0
3 years ago
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In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to
Anvisha [2.4K]

Answer:

5 + 3p ≥ 30

Step-by-step explanation:

"at least" means greater than are equal to. ≥

So we already know he has 5 points, but the other 3 rounds we don't. 5 + 3p

30 is the overall points he has.

5 + 3p ≥ 30

4 0
3 years ago
015: Rectangle homework
yaroslaw [1]

Answer:

Length: 6 ft

Width: 4 feet

Step-by-step explanation:

Length: L

Width: 2L - 8

2L + 2(2L - 8) = 20

2L + 4L - 16 = 20

6L = 36

L = 36/6

L = 6

W= 2(6)-8 = 4

7 0
3 years ago
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