The iterative rule for the sequence is a_n = 8 · ( 0.5 )ⁿ ⁻ ¹
<h3>Further explanation</h3>Firstly , let us learn about types of sequence in mathematics.
Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.
<em>Tn = n-th term of the sequence</em>
<em>Sn = sum of the first n numbers of the sequence</em>
<em>a = the initial term of the sequence</em>
<em>d = common difference between adjacent numbers</em>
Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.
<em>Tn = n-th term of the sequence</em>
<em>Sn = sum of the first n numbers of the sequence</em>
<em>a = the initial term of the sequence</em>
<em>r = common ratio between adjacent numbers</em>
Let us now tackle the problem!
<u>Given:</u>
a₁ = 8
a₂ = 4
a₃ = 2
a₄ = 1
<u>Solution:</u>
<em>Firstly , we find the ratio by following formula:</em>
<em>The iterative rule for the sequence:</em>
- Geometric Series : brainly.com/question/4520950
- Arithmetic Progression : brainly.com/question/2966265
- Geometric Sequence : brainly.com/question/2166405
Grade: Middle School
Subject: Mathematics
Chapter: Arithmetic and Geometric Series
Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term
