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

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.

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: