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
Answer:
a cone would be formed due to the point on the graph forming a triangle, and when a triangle is spun around an axis on one of its sides it will form a cone
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The opposite of a number is simply the number multiplied by -1 so the opposite of n is -n. "Between -3 and 0" tells us that the inequality is -3 < -n < 0.
Answer:
<em>(</em><em>2</em><em>x</em><em> </em><em>+</em><em> </em><em>1</em><em>)</em><em> </em><em> </em><em>(</em><em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>4</em><em>)</em>
Step-by-step explanation:
Solution:
- 6x² - 5x - 4
- 6x²- (8 - 3)x - 4
- 6x²- 8x + 3x - 4
- 2x (3x - 4) +1 (3x - 4)
- (2x + 1) (3x - 4)
Answer:
20 CDs
Step-by-step explanation:
Assuming you can't buy 1 CD, you have to buy 2 CD's for 15.95, let's see how many 2CD-Batches we can buy with 60:
60/15.95 = 3.76 CD batches
We can't buy the fractional amount, so we have to buy "3" 2-CD-Batches.
Thus, we will have 3 * 2 = 6 CD's now
Since we had 14 and now we buy 6, we will have
14 + 6 = 20 CDs now.
20 CDs
