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2 answers:
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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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Answer:
The total area of both rooms and the aquarium is equal to 10,932 ft²
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
the length sides of Aquarium are
(83-32) x (72-52)-----> 51 ft x 20 ft
Area reptile room=(83*72)-area of aquarium----> 83*72-51*20---> 4,956 ft²
[ total area of both rooms]=2*4,956-----> 9,912 ft²
I'm assuming that the two areas are equal
Area of aquarium=51*20=1,020 ft²
therefore
the total area of both rooms and the aquarium is equal to
9,912 ft²+1,020 ft²=10,932 ft²
