<u>N 2 3 N N 5 4 N N 1 </u><u> </u><u>next </u><u>to the statements that should not be used.</u>
What is sequence and example?
- A sequence is an ordered list of numbers . The three dots mean to continue forward in the pattern established.
- Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.
sequence
- The statement is true for n = 0 because 0 is divisible by 3.
- Now suppose we have proved the statement for some n element of N This means that 4^n -1 = 3k for some integer k..
- We now consider the quantity 4^n+1 -1 = 4 . 4^n - 1 = 3 . 4^n + 4^n - 1
- We use the inductive hypothesis to simplify that equation to 4^n+1 - 1 = 3 . 4^n + 3k = 3 (4^n + k).
- We have thus shown that 4^n+ 1- 1 is a multiple of 3.
Learn more about sequence
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Answer: (
x
−
3
)
(
x
+
4
)
Step-by-step explanation:
Answer:
7x-5 = 9
x = 2
Step-by-step explanation:
Let x be the number
7x-5 = 9
Add 5 to each side
7x-5+5 = 9+5
Divide each side by 7
7x = 14
7x/7 = 14/7
x=2
Answer:
Step-by-step explanation:
First let's write our equation
Now let's make them improper fractions
Now since we're dividing we with fractions we do the reciprocal and multiply
or
Answer:
a = 3, b = -1, c = 2
Step-by-step explanation:
an^2 + bn + c
n = 1:
a + b + c = 4 Eq. 1
n = 2:
4a + 2b + c = 12 Eq. 2
n = 3:
9a + 3b + c = 26 Eq. 3
Eq. 2 minus Eq. 1
3a + b = 8 Eq. 4
Eq. 3 minus Eq. 2
5a + b = 14 Eq. 5
Eq. 5 minus Eq. 4
2a = 6
a = 3
Plug in a = 3 into Eq. 4
3(3) + b = 8
b = -1
Plug in a = 3 and b = -1 into Eq. 1.
3 - 1 + c = 4
c = 2
Answer: a = 3, b = -1, c = 2
