![]() This will earn an interest of 2000 x 0.06 =120 ![]() If another $1000 is deposited the next year, the deposits are $1000 x 2 =$2000 When a fixed amount is deposited periodically e.g., annually in an account earning a constant simple interest rate, this leads to an arithmetic sequence.įor example, if $1000 is deposited annually at 6% it earns 1000 x 0.06=$60 Here are 10 examples of arithmetic sequences in real life. So, if we want the 53 rd term of the sequence of our above example, we simply use the formula in this way: To get Tn or the nth term of an arithmetic sequence, we use the general formula, Therefore, the first 4 terms of the sequence are 50, 53,56, 59 To get the first 4 terms, here is the calculation: This process is repeated with every term you get so that the sequence can run forever or until you reach the number of terms you want. Then to get the next term, you add the common difference d. General Rule for Arithmetic SequencesĮach arithmetic sequence starts with an initial term T₁. The numbers they contain each have a difference of 2 with the next number. ![]() The above 2 sequences are the odd numbers and even numbers respectively. Here are 2 examples of sequences that are well known to us: The sequence has a pattern or rule that enables us to predict successive numbers given any prior numbers. Whenever we have items or events following each other in a given order, we call this a sequence.Īrithmetic sequences are a special type of sequence that deals with numbers.Īlso known as arithmetic progression, it consists of numbers ordered with each term having a common difference d with the successive term. ![]()
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |