Arithmetic Sequences and Series

Question 1

What is an Arithmetic Sequence?

Answer 1

An Arithmetic Sequence has successive terms that differ by the same number, called the common difference.

Question 2

What is an Arithmetic Series?

Answer 2

An Arithmetic Series is the sum of the terms of an arithmetic sequence.

Question 3

What is the Formula for finding the nth Term in an Arithmetic Sequence?

Answer 3

a(subscript)n=a(subscript)1+(n-1)d. You swap all of the n’s for the number of the term you want in the arithmetic sequence.

Question 4

What is the Formula for finding the Sum of an Arithmetic Series?

Answer 4

S(subscript)n=n(a1+a(subscript)n)/2.