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
4(-9*x)
Multiply the two numbers
-36x
Final answer: -36x
Answer:
no
Step-by-step explanation:
there is not one point that is very distant from all of the other ones
Answer:
V = 210 cm³
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = Ah ( A is the area of the base and h is the height )
Here A = 5 × 6 = 30 cm² and h = 7 cm , then
V = 30 × 7 = 210 cm³
