Answer:
a) Arithmetic
b) 22.5
c) 4.5
d) a_n = 4.5 + 4.5(n - 1)
e) a_15 = 67.5
Step-by-step explanation:
a) Subtract one term by the term right before it, and the difference will be the common difference.
9 - 4.5 = 4.5
13.5 - 9 = 4.5
18 - 13.5 = 4.5
Therefore, the common difference is 4.5.
b) Since the common difference is 4.5, add 4.5 to the 18 (which was the last value given). The result is 22.5.
c) We have already figured out that the common difference is 4.5.
d) The explicit formula would be a_n = a1 + d(n - 1). The first term is 4.5 and d is also 4.5, so the explicit formula is a_n = 4.5 + 4.5(n-1).
e) Plug 15 into our explicit formula for n. a_15 = 4.5 + 4.5(14). The result is 67.5.
Hello!
The parent function of the graph of sin is y = sin(x).
Amplitude is the maximum displacement on the graph of a function.
Period is the displacement of x at which the graph of a function begins to repeat.
The period can be found by using the formula: 
.
Since the amplitude is 3, the graph of sin is y = 3sin(x).
Given the period 2π, we can substitute this value into the given formula, , to find B.
2π = 2π / B (multiply B to both sides)
2π · B = 2π (divide by 2π)
B = 1
Thus, the equation is y = 3sin(x). I'll post the graph as well.
Answer:
69
Step-by-step explanation:
nice ;)
Answer:
D. Y = x + 2
Step-by-step explanation:
The slope increases at a rate of 1 / 1, which is written as just x. The line starts at 2, which is at the y-intercept, a.k.a, where you get the +2 from.
Answer:
6 different primes.
3, 7, 13, 29, 31 , 89.
Step-by-step explanation:
Try dividing by primes starting with 3:
3 ) 65529009
3 ) 21843003
7) 7281001
13) 1040143
29) 80011
31 ( 2759
89. 89 is a prime number.
