Q:

Find the common difference and recursive formula

Accepted Solution

A:
3)

The first term is 35 and it keeps getting subtracted by 30 to get the other terms so this is the common difference, so we can write:

[tex]\sf a_n = a_{n-1}-30[/tex]
[tex]\sf a_1=35[/tex]

4)

The first term is 5 and it keeps getting subtracted by 8 to get the other terms so this is the common difference, so we can write:

[tex]\sf a_n = a_{n-1}-8[/tex]
[tex]\sf a_1=5[/tex]

5)

The first term is -29 and it keeps getting added by 200 to get the other terms so this is the common difference, so we can write:

[tex]\sf a_n = a_{n-1}+200[/tex]
[tex]\sf a_1=-29[/tex]

6)

The first term is 11 and it keeps getting added by 100 to get the other terms so this is the common difference, so we can write:

[tex]\sf a_n = a_{n-1}+100[/tex]
[tex]\sf a_1=11[/tex]

7)

The first term is 37 and it keeps getting added by 30 to get the other terms so this is the common difference, so we can write:

[tex]\sf a_n = a_{n-1}+30[/tex]
[tex]\sf a_1=37[/tex]

8)

The first term is 20 and it keeps getting subtracted by 6 to get the other terms so this is the common difference, so we can write:

[tex]\sf a_n = a_{n-1}-6[/tex]
[tex]\sf a_1=20[/tex]