The formula for the value of nth term is
= 3n + 1
Step-by-step explanation:
The formula of the nth term in the arithmetic sequence is
, where
- a is the first term of the sequence
- d is the common difference between each two consecutive terms
∵ The first term of an arithmetic sequence is equal to four
∴ a = 4
∵ The common difference is equal to three
∴ d = 3
- Substitute these values in the rule of the nth term
∵ 
∴ 
- Simplify it
∴ 
∴ 
The formula for the value of nth term is
= 3n + 1
Learn more:
You can learn more about the sequence in brainly.com/question/7221312
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Given:
Cost of small candles = $4.00
Cost of large candles = $6.00
They have at most 50 candles, and want to make at least $100.
To find:
The system of linear inequalities represents the situation.
Solution:
Let x be the number of small candles and y be the number of large candles.
At most 50 candles means total candles must be less than or equal to 50.

Want to make at least $100. It means, the total sales must be greater than or equal to $100.

Therefore, the inequalities in the system of linear inequalities are
and
.
Answer:
(a) 7/15
(b) 1/3
Step-by-step explanation:
(a) teaching:
(3 1/2) / (7 1/2) = (7/2) / (15/2) = 7/2 * 2/15 = 7/15
(b) marking:
(2 1/2) / (7 1/2) = (5/2) / (15/2) = 5/2 * 2/15 = 5/15 = 1/3