give me a example of arithmetic sequence with explanation ​

Answer:Step-by-step explanation:An arithmetic sequence is a sequence of numbers where the difference between any two successive terms is constant, known as the common difference. For example, the sequence 2, 5, 8, 11, 14 is an arithmetic sequence because the difference between each consecutive term is 3 (5-2=3, 8-5=3, and so on). In simpler terms, you get the next number in the sequence by adding the same value to the previous number. Here's a breakdown:Definition:An arithmetic sequence is a list of numbers where the difference between consecutive terms is constant. Common Difference:This constant difference is called the common difference. Example:The sequence 2, 5, 8, 11, 14 has a common difference of 3. Each number is obtained by adding 3 to the previous number. Formula:An arithmetic sequence can be represented by the formula: a, a + d, a + 2d, a + 3d, ... where 'a' is the first term and 'd' is the common difference. Another Example:10, 7, 4, 1, -2 has a common difference of -3. Each number is obtained by subtracting 3 from the previous number, according to Cuemath.

Answered by lakshmi12102008 | 2025-08-15