MATH SOLVE

5 months ago

Q:
# What is the 6th term in the sequence described by the following recursive formula?a1=9an=an−1−4A) a6=−7B) a6=−15C) a6=−8D) a6=−11

Accepted Solution

A:

Answer:Correct answer is: D) a₆ = - 11Step-by-step explanation:Given:a₁ = 9 and aₙ = aₙ₋₁ - 4We know it isa₆ = a₅ + d also it is given a₆ = a₅ - 4When we equate the right sides of equality we get:a₅ + d = a₅ - 4 => d = - 4We also know it is a₆ = a₁ + 5 dNow we will find a₆a₆ = 9 + 5 (-4) = 9 - 20 = - 11a₆ = - 11God with you!!!