Arithmetic & Geometric Sequences: Terms

Your starting term is 5 and the common difference is 3, write a recursive formula

• $a_1=5\ \$ $a_n=a_{\left(n-1\right)}+3$

• $$a_1=5\ \

• $a_n=a_{\left(n-1\right)}-15$ $$a_1=5\ \

• $n​=a(n−1)​+3$ & $a_1=3$
  

What does the term $a_1$  represent in explicit and recursive formulas?

• The initial term in a sequence (the first number)

• The common ratio

• The common difference 

• The term we are trying to find 

What does the term $a_n-1$  represent in explicit and recursive formulas?

• The initial term in a sequence (the first number)

• The common ratio

• The term we are trying to find

• the term before  $a_n$  

What does the term $a_n$  represent in explicit and recursive formulas?

• The initial term in a sequence (the first number)

• The common ratio

• The term we are trying to find

• the term before  $a_n$  

What does the term $r$  represent in explicit and recursive formulas?

• The initial term in a sequence (the first number)

• The number we are multiplying one term by to get to the next term 

• the common difference

• the term before  $a_n$  

What does the term $d$  represent in explicit and recursive formulas?

• The initial term in a sequence (the first number)

• The common ratio

• the number we are adding or subtracting to every term

• the term before  $a_n$  

Which formula below is appropriate for an explicit geometric sequence?

• $a_1=$ # & $a_n=a_{\left(n-1\right)}+d\$

• $a_1=$ # & $a_n=a_{\left(n-1\right)}\left(r\right)$

• $a_n=a_1+d\left(n-1\right)$

• $a_n=a_1\left(r^{\left(n-1\right)}\right)$

Which formula below is appropriate for a recursive arithmetic sequence?

• $a_1=$ # & $a_n=a_{\left(n-1\right)}+d\$

• $a_1=$ # & $a_n=a_{\left(n-1\right)}\left(r\right)$

• $a_n=a_1+d\left(n-1\right)$

• $a_n=a_1\left(r^{\left(n-1\right)}\right)$

Which formula below is appropriate for an explicit arithmetic sequence?

• $a_1=$ # & $a_n=a_{\left(n-1\right)}+d\$

• $a_1=$ # & $a_n=a_{\left(n-1\right)}\left(r\right)$

• $a_n=a_1+d\left(n-1\right)$

• $a_n=a_1\left(r^{\left(n-1\right)}\right)$

If 

 $a_n$  is our current term, what would  $a_{\left(n+1\right)}$  represent?

• The term before our current term

• The value of the current term +1 

• The term after the current term 

• the current term