Worked example 1
The first term of an arithmetic sequence is 12 and the common difference is 9. Find the sum of the first 24 terms.
Remember: With first term a, common difference d and n terms, the sum is n[2a + (n − 1)d] ÷ 2.
- Use S = n[2a + (n − 1)d] ÷ 2 with a = 12, d = 9 and n = 24.
- 2 × 12 + 23 × 9 = 231.
- 24 × 231 ÷ 2 = 2772.
- The sum is 2772.