Grade 12 Arithmetic Series Worksheet

Arithmetic Series Mastery

Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Which of the following sequences is an arithmetic sequence?

2. The common difference of the arithmetic sequence 3, 7, 11, 15, ... is:

1. An arithmetic sequence is a sequence of numbers such that the difference between consecutive terms is  .

2. The formula for the nth term of an arithmetic sequence is an = a1 + (n - 1)d, where a1 is the first term, n is the term number, and d is the  .

3. The sum of the first n terms of an arithmetic series can be found using the formula Sn = n/2 (a1 + an) or Sn = n/2 [2a1 + (n-1)d], where Sn represents the  .

1. Find the 10th term of the arithmetic sequence: 2, 5, 8, 11, ...

2. The first term of an arithmetic sequence is 7 and the common difference is 3. Find the 15th term.

1. Find the sum of the first 20 terms of the arithmetic series: 1, 5, 9, 13, ...

2. In an arithmetic series, the 5th term is 18 and the 10th term is 38. Find the first term and the common difference.

1. The sequence 1, 4, 9, 16, ... is an arithmetic sequence.

2. The sum of an infinite arithmetic series always converges to a finite value.