Taylor Series can be used to approximate complicated functions via polynomials.Sequences are common on IQ tests for measuring pattern recognition ability.

Sequences are series are fundamental to the calculus, which has many applications to real life.Generally, the nth term of a arithmetic sequence is given by a n = a 1 + ( n − 1 ) d.For a recursive formula, the general strategy involves finding the first term, plugging that in to get the second, plugging that in to get the third, et cetera.The sum of the terms in a sequence is called a series.Knowledge of formulas and patterns from arithmetic sequences and series are encouraged to ensure success on this exercise. The student is expected to use the rule to find the sum of a specified number of terms of the sequence.įind the appropriate term in the explicit formula Find the sum of the explicitly defined sequence: This problem provides an explicit rule for a arithmetic sequence.The student is expected to use the rule and find the sum of a specified number of terms of the sequence. Find the sum of the recursively defined sequence: This problem provides a recursive rule for an arithmetic sequence.There are two types of problems in this exercise: This exercise experiments with recursive and explicit forms of arithmetic sequences to find the answers to series. The Arithmetic series exercise appears under the Precalculus Math Mission, Mathematics III Math Mission and Integral calculus Math Mission.

Khan academy sequences and series