Write the explicit formula for the sequence. Then find the fifth term in the sequence. a1= 3, r=-3

a) Explicit Formula : aₙ = 3. (-3)ⁿ⁻¹

b) Fifth term : a₅ = 243

Step-by-step explanation:

This sequence above is the Geometric sequence. The Geometric sequence is calculated using the formula

aₙ= a1.rⁿ⁻¹

where a1 = first term

r = common ratio

n = number of terms

From the above question, we are given

a1= 3, r=-3 and asked to find the explicit formula.

The explicit formula using the geometric sequence formula =

aₙ = 3. (-3)ⁿ⁻¹

b) The fifth term in the sequence is calculated as

aₙ = 3. (-3)ⁿ⁻¹

Where n = 5

a₅ = 3.(-3)⁵⁻¹

a₅ = 3.(-3)⁴

a₅= 243

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .