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Mathematics 13 Online
zarkam21:

help

zarkam21:

1 attachment
zarkam21:

don't really understand recursive formulas

Vocaloid:

unlike explicit formulas, you have to calculate the terms of a recursive formula in order starting from the first term

Vocaloid:

an = 2*(a_n - 1) + 2 means take the first term, multiply it by 2, and then add 2 to get the second term (4)

Vocaloid:

then, for the third term, you would take the second term, multiply it by 2, then add 2 to get the third term

zarkam21:

ugh so it would be 2*2+2 for the third term

Vocaloid:

yup

zarkam21:

that's incorrect

Vocaloid:

oh whoops

zarkam21:

because that would be 2*2=4 +2 =6

Vocaloid:

the second term is 4 not 2, yeah ;;

Vocaloid:

so it's 2(4) + 2 = 10

zarkam21:

ohh you woukld get the answer to the term before??? not the term right

Vocaloid:

right

Vocaloid:

that's the difference between recursion and explicit formulas

zarkam21:

so 22 for the next one right

zarkam21:

and so on

Vocaloid:

yup good

zarkam21:

quick question

zarkam21:

1 attachment
zarkam21:

I understand that with the initial term the rest of the terms are dependent upon that.. but how do I get the second term?

Vocaloid:

so an means "term with index n" a_(n-1) means "term with index n - 1" or in other words, the term before an

Vocaloid:

an = a_(n-1) + 7 means take the previous term, and add 7 to get the next term

zarkam21:

so 1+7 right

Vocaloid:

a1 = - 2 so it would be -2 + 7 = second term

Vocaloid:

since it's recursive you're using the actual values not the indexes (indices)

zarkam21:

so 5

Vocaloid:

good then you would take 5 and add 7 to get term 3

zarkam21:

and this time I would do 5*-2 +7?

zarkam21:

ohh I don't have to do anything with the -2?

Vocaloid:

nah, you're done with term 1 since you already have term 2 now

zarkam21:

12 19

Vocaloid:

good

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