Answer:21
Step-by-step explanation:
Add them all up
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
Please see attached image for the correct answer
79. Is 52 800 centimeters greater than 1 kilometer?
According to the unit of conversion in every 1 kilometer, there is a total of 100 000 centimeters.
Now, the given value of centimeters is equals to 52 800
=> 1 km = 100 000 cm
=> 52 800 cm is less than the value of 100 000 cm which is equivalent to 1 km.
Thus, the given is not correct. 52 800 cm is less than 1 kilometer.
Answer:
Step-by-step explanation:
Given
Required
Determine the depth
The depth is the distance between the two distances as follows'
Substitute values
Convert fraction to decimal
