SOLVING SEQUENCES HOW TO

Therefore, the common difference is -3.3333Ī series is obtained when the terms of a sequence are added.Įxamples a) and b) are called finite series because they have a definite number of terms and it is always possible to find the sum of a finite series.Įxamples c) and d) are called infinite series. Using the general formula: T n = a + (n – 1)d Next, we calculate the value of the 20 th term Using Equation (II) to find the value of a (first term) Next, we obtain the values of a and d using simultaneous equation for equation (I) and (II) Let’s first of all find the number of termsįirst, let’s find the T 8 and T 12 expression T n = n th term of the sequence and T (n – 1) is the (n – 1) th 32, 29, 26, …, -118 If T 1, T 2, T 3, T 4, T 5, … is a linear sequence, the common difference is obtained as:

The constant number is called common difference and it is denoted as “d” while the first term is denoted as “a”. An infinite sequence is one that does not have a last term when listed.Īrithmetic Progression follows the rule of linear sequence which is the sequence in which each term is obtained by adding a distant number (Positive or Negative) to the proceeding terms. Each number is called a term.Ī finite sequence is one that has a last term when listed.

SOLVING SEQUENCES HOW TO

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Solving sequences