Answer the following questions related to the idea of a constant difference between…
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
Answer the following questions related to the idea of a constant difference between successive terms.
(a) Define an arithmetic progression.
(b) Verify that the numbers 17, 23 and 29 are consecutive terms of an arithmetic progression.
(c) Briefly explain why the presence of a constant difference between successive terms guarantees that the entire sequence is an arithmetic progression.