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Keith_Richards [23]
3 years ago
6

The first term of a sequence is 3. The common difference of the sequence is 10 less than twice the first term. Write the equatio

n for the nth term for the sequence and then find the next three terms
Mathematics
1 answer:
Effectus [21]3 years ago
8 0
D = 2*3 -10 = -4

The n-th term of the sequence is
.. t[n] = 3 +d(n -1) = 7 -4n
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Kasey needs 1.5 cups of milk and 4 cups of sugar to make 12 muffins. She plans to make 36 muffins . How many fl oz of sugar does
Masja [62]

Answer:

12 cups of milk

Step-by-step explanation:

36/12= 3

4 x 3= 12

So the Answer is 12 cups of milk

4 0
3 years ago
The sum of two numbers is 20. Their difference is 14. Find the numbers.
Mila [183]
3 and 17
17-3=14

hope that helps
5 0
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Read 2 more answers
Find the sum of the following infinite geometric series, if it exists. 2 + 6 + 18 + 54 +… Does not exist 23,567 25,982 29,034
Sladkaya [172]

Option A: The sum for the infinite geometric series does not exist

Explanation:

The given series is 2+6+18+54+.......

We need to determine the sum for the infinite geometric series.

<u>Common ratio:</u>

The common difference for the given infinite series is given by

r=\frac{6}{2}=3

Thus, the common difference is r=3

<u>Sum of the infinite series:</u>

The sum of the infinite series can be determined using the formula,

S_{\infty}=\frac{a}{1-r}   where 0

Since, the value of r is 3 and the value of r does not lie in the limit 0

Hence, the sum for the given infinite geometric series does not exist.

Therefore, Option A is the correct answer.

8 0
3 years ago
What are the solutions to the equation (2x - 5) (3x - 1) = 0
SCORPION-xisa [38]

Answer:

x = 5/2 & x = 1/3

Step-by-step explanation:

Create two equations and solve

1) 2x-5 = 0 & 2) 3x-1 = 0

1) 2x = 5

x = 5/2

2) 3x = 1

x = 1/3

You create two equations as you want the left hand side (LHS) to equal 0 (RHS), thus if one of the brackets becomes 0 it will result in the whole LHS beocming 0 as the brackets are being multiplied (anything multiplied by 0 = 0)

6 0
3 years ago
A TV that usually sells for $192.74 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including
Mashutka [201]

Answer:

Step-by-step explanation:

If you are saving 25%, you are still paying 75%, right?  So the cost of the TV with a discount of 25% is 192.74(.75) which is $144.56

That's the cost of the TV on sale.  Now we need to find the sales tax amount, if the sales tax is .05 as a decimal.  We are paying $144.56 for the TV, which is 100% of the cost.  On top of that, we are paying another 5%.  So altogether, for the TV, we are paying 105% of the TV.  Therefore,

144.56(1.05) = $151.79

4 0
3 years ago
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