Math Problem Statement
Find a_(3). a_(1)=28 a_(n)=(1)/(2)a_(n-1) Write your answer as an integer or fraction in simplest form. a_(3)=
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Solution
We are given the recursive sequence formula:
We need to find .
Step 1: Find
Using the recursive formula with :
Step 2: Find
Now, using the recursive formula with :
So, the value of is:
Would you like any further explanation?
Related Questions:
- What would be in this sequence?
- Can you express explicitly as a function of ?
- How does this recursive formula compare to geometric sequences?
- What happens if the initial term was different, say ?
- Can this sequence reach zero at any value of ?
Tip: Recursive formulas require the value of previous terms, so it's helpful to compute terms sequentially.
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Math Problem Analysis
Mathematical Concepts
Recursive Sequences
Algebra
Formulas
a_n = (1/2) * a_(n-1)
Theorems
-
Suitable Grade Level
Grades 7-9
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