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So I don't understand explicit equations. Whats the formula and how are they different than
recursive?
Solution
in explicit formula we just need to know the term number to find any term of the sequence
whereas in recursive formula each term is defined by its preceding term.so to find any term of
the sequence we must know the preceding term
lets understand by an example
let a sequence be 1, 4 , 7 , 10 ...
a1 = 1 , difference between 2 terms = 3
for explicit formula
an = a1 + (n-1)*3
we just need to plug the value of n to get any term of the sequence
for recursive formula
an+1 = an + 3
to get any term of the sequence we need to know the preceding term
for eaxample
to find a3 we plug n = 2
a2+1 = a2 + 3
a3 = a2+ 3
tehrefore we need to know a2 term to get a3 term

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So I dont understand explicit equations. Whats the formula and how.pdf

  • 1. So I don't understand explicit equations. Whats the formula and how are they different than recursive? Solution in explicit formula we just need to know the term number to find any term of the sequence whereas in recursive formula each term is defined by its preceding term.so to find any term of the sequence we must know the preceding term lets understand by an example let a sequence be 1, 4 , 7 , 10 ... a1 = 1 , difference between 2 terms = 3 for explicit formula an = a1 + (n-1)*3 we just need to plug the value of n to get any term of the sequence for recursive formula an+1 = an + 3 to get any term of the sequence we need to know the preceding term for eaxample to find a3 we plug n = 2 a2+1 = a2 + 3 a3 = a2+ 3 tehrefore we need to know a2 term to get a3 term