Resources tagged with: Arithmetic sequences

arithmetic sequence  For example, in the arithmetic sequence 2, 5, 8, 11, 14, 17, … the first term is 2 and the common difference is 3 Therefore, the general formula for this Therefore the sum of the arithmetic sequence 1, 8, 15, 22, 29, 36, 43, 50 is 204

The nth or general term of an arithmetic sequence is given by an=a1+d So in our example a1=2 and d=4 so an=2+4=2+4n−4=4n−2  Arithmetic Sequence Formula From the above concept, we get the standard form of writing an arithmetic progression, which is given as: If k is

Find the Sum of the First n Terms of an Arithmetic Sequence As with the general sequences, it is often useful to find the sum of an arithmetic The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+d