Lesson 10.2 Recursive Formulas

The Recursive Formula for the Arithmetic Sequence is:

Given the Recursive Formula, Identify the first 5 terms in the pattern: $$a_n=a_{n-1}+13;\ \ a_1=8$$ ​ $$a_1=$$ (a)   , $$a_2=$$ ​ (b)   , $$a_3=$$ ​​ (c)   , $$a_4=$$ ​ (d)   , ​ $$a_5=$$ (e)  

Given the Recursive Formula, Identify the first 5 terms in the pattern: $$a_n=a_{\left(n-1\right)}-7;\ \ \ a_1=-2$$

$$a_1=$$ ​ (a)   , $$a_2=$$ ​ (b)   ​, $$a_3=$$ (c)   , $$a_4=$$ ​ (d)   ​, $$a_5=$$ (e)   ​

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Given the recursive formula, find the first 5 terms: $$a_n=a_{\left(n-1\right)}+5;\ \ \ a_1=-16$$ $$a_1=$$ (a)   , ​ $$a_2=$$ (b)   , $$a_3=$$ ​ (c)   , $$a_4=$$ ​ (d)   , $$a_5=$$ ​ (e)   ​

Given the recursive formula, find the first 5 terms:

$$a_n=a_{n-1}-14;\ \ \ a_1=17$$

Given the Recursive Formula, find the first 5 terms:

$$a_n=a_{n-1}+11;\ \ \ a_1=6$$

Given the Recursive Formula, find the first 5 terms:

$$a_n=a_{n-1}-4;\ \ \ a_1=13$$

Write the Recursive Formula for the following sequence:

12, 19, 26, 33, 40,...

Write the Recursive Formula for the following sequence:

6, 4, 2, 0,...

Write the Recursive Formula for the following sequence:

33, 42, 51, 60...