URGENTT PLZZ HELPP

Question

1) Determine if the given series is a geometric series and then find the sum of the series.

3 + 9 + 27 +…+ 729 + 2187

2) The following function represents a sequence. Determine whether each value of n is in the domain of the function. f(n)=−2⋅(−1)n−1

n=1000

n=0

n= √2

n=1.55

3) Some plastic chairs are designed to be stackable. After the first chair in the stack, each additional chair adds the same amount to the overall height of the stack. The table below shows the total height of the stack when there are 1, 2, 3, and 4 chairs in the stack. What is the function that models the height of a stack of n chairs?

Number of chairs, n 1 2 3 4

Height of stack (inches) 28 31 34 37

Answer 1

1)

r = 3

n = 8

S₈ = (a₁ - a₁rⁿ) / (1 - r)

2)

n ∈ N

3)

a_n = 28 + (n - 1)3