157 Recursion

Recursion:
given the first number, and an equation that references the previous number, you can find a new number!

1

a_1=7
a_n=a_{n-1}+5

Find a_2

1

a_1=7
a_n=a_{n-1}+5

Find a_3

1

a_1=7
a_n=a_{n-1}+5

Find a_6

1

a_1=6
a_n=-2a_{n-1}

Find a_2

1

a_1=6
a_n=-2a_{n-1}

Find a_3

1

a_1=6
a_n=-2a_{n-1}

Find a_6

1

a_{11}=6
a_n=7a_{n-1}+3

Find a_{12}

1

How are recurvisive formulas (today) and explicit formulas (yesterday) the same? different? When would be best to use each one?

1

a_1=4
a_n=(a_{n-1})^2-2

Find the first 4 terms.

1

a_1=9
a_n=3a_{n-1}-3

Find the first 5 terms.

You can now do Recursive (level 1&2) on DeltaMath.

157 Recursion

Recursion:

given the first number, and an equation that references the previous number, you can find a new number!

a_1=7a_n=a_{n-1}+5Find a_2

a_1=7a_n=a_{n-1}+5Find a_3

a_1=7a_n=a_{n-1}+5Find a_6

a_1=6a_n=-2a_{n-1}Find a_2

a_1=6a_n=-2a_{n-1}Find a_3

a_1=6a_n=-2a_{n-1}Find a_6

a_{11}=6a_n=7a_{n-1}+3Find a_{12}

How are recurvisive formulas (today) and explicit formulas (yesterday) the same? different? When would be best to use each one?

a_1=4a_n=(a_{n-1})^2-2Find the first 4 terms.

a_1=9a_n=3a_{n-1}-3Find the first 5 terms.

Recursion:

given the first number, and an equation that references the previous number, you can find a new number!

a_1=7a_n=a_{n-1}+5Find a_2

a_1=7a_n=a_{n-1}+5Find a_3

a_1=7a_n=a_{n-1}+5Find a_6

a_1=6a_n=-2a_{n-1}Find a_2

a_1=6a_n=-2a_{n-1}Find a_3

a_1=6a_n=-2a_{n-1}Find a_6

a_{11}=6a_n=7a_{n-1}+3Find a_{12}

How are recurvisive formulas (today) and explicit formulas (yesterday) the same? different? When would be best to use each one?

a_1=4a_n=(a_{n-1})^2-2Find the first 4 terms.

a_1=9a_n=3a_{n-1}-3Find the first 5 terms.

a_1=7
a_n=a_{n-1}+5

Find a_2

a_1=7
a_n=a_{n-1}+5

Find a_3

a_1=7
a_n=a_{n-1}+5

Find a_6

a_1=6
a_n=-2a_{n-1}

Find a_2

a_1=6
a_n=-2a_{n-1}

Find a_3

a_1=6
a_n=-2a_{n-1}

Find a_6

a_{11}=6
a_n=7a_{n-1}+3

Find a_{12}

a_1=4
a_n=(a_{n-1})^2-2

Find the first 4 terms.

a_1=9
a_n=3a_{n-1}-3

Find the first 5 terms.

a_1=7
a_n=a_{n-1}+5

Find a_2

a_1=7
a_n=a_{n-1}+5

Find a_3

a_1=7
a_n=a_{n-1}+5

Find a_6

a_1=6
a_n=-2a_{n-1}

Find a_2

a_1=6
a_n=-2a_{n-1}

Find a_3

a_1=6
a_n=-2a_{n-1}

Find a_6

a_{11}=6
a_n=7a_{n-1}+3

Find a_{12}

a_1=4
a_n=(a_{n-1})^2-2

Find the first 4 terms.

a_1=9
a_n=3a_{n-1}-3

Find the first 5 terms.