Question

The following function represents an arithmetic sequence. f(1)=−1.5 f(n+1)=f(n)+0.5 What is f(10)? Enter your answer as a number, like this: 42.53

Answer 1

An arithmetic sequence is a linear function. Instead of y=mx+b, we write an=dn+c where d is the common difference and c is a constant (not the first term of the sequence, however). A recursive definition, since each term is found by adding the common difference to the previous term is ak+1=ak+d.