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
Well I guess and I hope it helped
Hey There!
To find the rate of change, simply use the following formula.
y2 - y1 = x2 - x1
Keeping this in mind, let's begin to solve.
3 - 4 = -1
1 - (-1) = 2
Therefore, the answer would be C
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Answer:
2
Step-by-step explanation:
Answer:
48.75
Step-by-step explanation:
340/80=16 1/4
16 1/4*3=48.75
