Answer the following questions related to the basic terminology of arithmetic…
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
Answer the following questions related to the basic terminology of arithmetic sequences and series.
(i) Define a sequence and a series in the context of real numbers.
(ii) What is meant by a finite sequence? Give one illustrative example. What is meant by an infinite sequence? Give one illustrative example.
(iii) State the condition under which a sequence becomes an arithmetic progression (AP). Further, write the first four terms of an AP whose first term is 7 and common difference is –3.