About 232,000 results
Open links in new tab
  1. Arithmetic Sequence - Formula, Definition, Examples, Applications ...

    Consider the sequence 3, 6, 9, 12, 15, .... is an arithmetic sequence because every term is obtained by addinga constant number (3) to its previous term. Here, 1. The first term, a = 3 2. The common difference, d = 6 - 3 = 9 - 6 = 12 - 9 = 15 - 12 = ... = 3 Thus, an arithmetic sequence can be written as a, a + d, a + 2d, a … See more

    The above formula for finding the nth term of an arithmetic sequence is used to find any term of the sequence when the values of 'a1' and 'd' are known. There is another formula to find the … See more

    Let us take an arithmetic sequence that has its first term to be a1and the common difference to be d. Then the sum of the first 'n' terms of the sequence is given by Sn = a1 + (a1 + d) + (a1 + 2d) + … + an... (1) Let us write the same sum from right to left (i.e., from the … See more

  2. Arithmetic Sequences - Examples with Answers - Neurochispas

    • Published: Jun 25, 2021
      1. Find the next term in the arithmetic sequence: 3, 7, 11, 15, ?. Solution. First, …
      2. Find the next term in the sequence: 28, 23, 18, 13, ?. Solution. We start by …
      3. Find the following two terms in the arithmetic sequence: -17, -13, -9, -5, ? , ?. …
      4. In an arithmetic sequence, the first term is 8 and the common difference is 2. …
      5. The first term of an arithmetic sequence is 12 and the common difference is …
  3. Arithmetic Sequences and Sums - Math is Fun

    In an Arithmetic Sequence the difference between one term and the next is a constant. In other words, we just add the same value each time ... infinitely. Example: 1, 4, 7, 10, 13, 16, 19, 22, …

  4. What is Arithmetic Sequence Formula? Examples - Cuemath

    The arithmetic sequence formula is used to find the n^th term and the sum of the sequence. The n^th term is calculated by the formula a_n = a_1+(n-1)d and the sum is calculated by the …

  5. Arithmetic Sequence - Math Steps, Examples

    Arithmetic sequences (arithmetic progressions) are ordered sets of numbers that have a common difference (d) between each consecutive term. If you add or subtract the same number each time to make the sequence, it is an arithmetic …

  6. Arithmetic Sequence Formula - ChiliMath

    Examples of How to Apply the Arithmetic Sequence Formula. Example 1: Find the 35 th term in the arithmetic sequence 3, 9, 15, 21, … There are three things needed in order to find the 35 …

  7. Arithmetic Series Formula - ChiliMath

    We can transform a given arithmetic sequence into an arithmetic series by adding the terms of the sequence. The example below highlights the difference between the two. Notice that in a sequence, we list the terms separated by commas …

  8. Arithmetic Sequence: Definition and Basic Examples - ChiliMath

    Learn the definition and basic examples of an arithmetic sequence, along the concept of common difference. Understand how the terms in an arithmetic sequence are generated, and the …

  9. Arithmetic Sequence | Differences, Examples, Formula

    What is an arithmetic sequence? What are the terms used in an arithmetic sequence? How to find the common difference of an arithmetic sequence? How to find the nth of an arithmetic sequence? How to formulate the general …

  10. Arithmetic Sequence: Formula, Application, Examples

    Mar 5, 2022 · A few examples of real-life uses of the arithmetic sequence formula are included below. An arithmetic sequence is used to organize seats in a stadium or theater. The second hand and the minutes and hours hands in a …

  11. Some results have been removed