SOLUTION: Write an explicit formula for the sequence determined by each recursion formula. 1)t₁ = 1; tn = tn-1 -4 2)t₁ = 20; tn = (-1/2)tn-1 Thank you.

Question 1037881: Write an explicit formula for the sequence determined by each recursion formula.
1)t₁ = 1; tn = tn-1 -4
2)t₁ = 20; tn = (-1/2)tn-1
Thank you.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
1) ,
That is an arithmetic sequence with first term , and common difference .
For arithmetic sequences the explicit formula is
.
For the particular arithmetic sequence in this problem,
.

2) ,
That is a geometric sequence with first term , and common ratio .
For geometric sequences the explicit formula is
.
For the particular arithmetic sequence in this problem,
.
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SOLUTION: Write an explicit formula for the sequence determined by each recursion formula. 1)t&#8321; = 1; tn = tn-1 -4 2)t&#8321; = 20; tn = (-1/2)tn-1 Thank you.

SOLUTION: Write an explicit formula for the sequence determined by each recursion formula. 1)t₁ = 1; tn = tn-1 -4 2)t₁ = 20; tn = (-1/2)tn-1 Thank you.