help
don't really understand recursive formulas
unlike explicit formulas, you have to calculate the terms of a recursive formula in order starting from the first term
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)
then, for the third term, you would take the second term, multiply it by 2, then add 2 to get the third term
ugh so it would be 2*2+2 for the third term
yup
that's incorrect
oh whoops
because that would be 2*2=4 +2 =6
the second term is 4 not 2, yeah ;;
so it's 2(4) + 2 = 10
ohh you woukld get the answer to the term before??? not the term right
right
that's the difference between recursion and explicit formulas
so 22 for the next one right
and so on
yup good
quick question
I understand that with the initial term the rest of the terms are dependent upon that.. but how do I get the second term?
so an means "term with index n" a_(n-1) means "term with index n - 1" or in other words, the term before an
an = a_(n-1) + 7 means take the previous term, and add 7 to get the next term
so 1+7 right
a1 = - 2 so it would be -2 + 7 = second term
since it's recursive you're using the actual values not the indexes (indices)
so 5
good then you would take 5 and add 7 to get term 3
and this time I would do 5*-2 +7?
ohh I don't have to do anything with the -2?
nah, you're done with term 1 since you already have term 2 now
12 19
good
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