Question

assignment 9.1 sequences and their nota
due wednesday by 11:59pm points 8 submitting an external too
assignment 9.1 sequences and their notation
score: 1/8 answered: 1/8
question 2
find the next term of the sequence:
9, 4, -1, -6, -11,
question help: message instructor

Explanation:

Step1: Find the common difference

Subtract consecutive terms: \(4 - 9=-5\), \(-1 - 4=-5\), \(-6-(-1)=-5\), \(-11-(-6)=-5\). The common difference \(d=-5\).

Step2: Calculate the next term

The last term is \(-11\). Using the formula \(a_{n + 1}=a_{n}+d\), we have \(a_{6}=-11+( - 5)\).

Answer:

\(-16\)