BRAINLIEST IF YOU EXPLAIN! A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?
f(1) = 5; f(n) = 5 ⋅ d(n − 1), n > 0
f(1) = 5; f(n) = 5 ⋅ d(n + 1), n > 0
f(1) = 5; f(n) = 5 + d(n − 1), n > 0
f(1) = 5; f(n) = 5 + d(n + 1), n > 0
Answers
Answer:
f(1) = 5; f(n) = 5 + d(n − 1), n > 0
Step-by-step explanation:
Given
f(1) = 5
f(2) = 10
Required
Determine f(n)
From the formulas in the option, we understand that the sequence is Arithmetic.
And will be determined using
f(n) = a + (n - 1)d
Where a = f(1) = 5
Substitute 5 for a,
f(n) = 5 + (n - 1)d
Or
f(n) = 5 + d(n - 1)
To test,
Take n = 2
d = f(2) - f(1) = 10 - 5 = 5
So, we have
f(n) = a + (n - 1)d
f(n) = 5 + (2 - 1) * 5
f(n) = 5 + 1 * 5
f(n) = 5 + 5
f(n) = 10
Hence,
Option B answers the question.
Answer:
The person who answered above meant to say that it was C not B.
Step-by-step explanation:
His answer was (1) = 5; f(n) = 5 + d(n − 1), n > 0 and this would have been c not b. B would have been f(1) = 5; f(n) = 5 ⋅ d(n + 1), n > 0 which is incorrect.
Plz dont report me i'm just trying to correct the answer above.
And i'm not doing this for points either. Just trying to help people fix their mistakes so that others don't mess up, that is all.
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Hope I Helped You!!!
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