Answer:
a. a[1] = 3; a[n] = 2a[n-1]
b. a[n] = 3·2^(n-1)
c. a[15] = 49,152
Step-by-step explanation:
Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.
The first term is 3, and the common ratio is 2.
<h3>(a)</h3>
The recursive rule is ...
a[1] = 3
a[n] = 2×a[n-1]
__
<h3>(b)</h3>
The explicit rule is ...
a[n] = a[1]×r^(n-1)
a[n] = 3×2^(n-1)
__
<h3>(c)</h3>
The 15th term is ...
a[15] = 3×2^(15-1) = 3×2^14
a[15] = 49,152
1: 0.8
2: 0.4
3: 0.1
4: 0.7
Have a good day and ask questions!!
-Kaylie
All 32 glue sticks cost 44.80 dollars and all the crayon boxes cost 18.88 dollars. She spent 63.68 dollars. She has 16.32 dollars left.
<span>x^8 ÷ x^4 · x^2
= </span>x^4 · x^2
= x^6
hope it helps
