Recursive And Explicit Equations Math
The main difference between recursive and explicit is that a recursive formula gives the value of a specific term based on the previous term while an explicit formula gives the value of a specific term based on the position.
Recursive and explicit equations math. It refers to a set of numbers placed in order. Play this game to review algebra i. Write the explicit equation that models the sequence. Use nth term formula to find the explicit formula.
G of three is gonna be one half times g of two which it is g of three is one half times g of two. An a1 n 1 d. First term a1 11 common difference d 17 11 6. Explanation of recursive equations and explicit equations.
How to write a recursive or explicit equation for a sequence of values. The next number in a sequence is found by performing the operation on the current number in the sequence. So this is how we would define this is the explicit definition of this sequence this is a recursive function to define this sequence. So 168 times one half is 84.
Examples solutions videos and lessons to help high school students learn how to write arithmetic and geometric sequences both recursively and with an explicit formula use them to model situations and translate between the two forms. A sequence is an important concept in mathematics. 25 21 17 13. Recursive and explicit formula practice draft.
Given the sequence 25 21 17 13 write the explicit equation that models the sequence. Preview this quiz on quizizz. Common core for mathematics. Hsf bf a 2 recursive and explicit equations.
Therefore recursive formula of the geometric sequence is of the an an 1 3 where a1 12. 11 17 23 29 35 41 47 solution.