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
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x x x x x x x x
x x x x x x x x
x x x x x x x x
This array shows that there are 5 rows of 8 in 40.
Some of the problems are in scientific notation, which if you don't know how to do, I will try to explain, when you see for example 1 x 10^3, what it is saying is basically 1 x 10 x 10 x 10 so in that case 1,000, simple trick is to look at what ever number is in the top right, then add that many zeroes. So this is most likely supposed to be a division problem. if you need more help message me.
Answer:
V=w×h×l
2 and 1/8 × 4 = your answer
What is supposed to be the underlined digit