Answer:
If (K + 1)^2 = 2n + (n^2)/2, then the answer is Yes, else No.
Step-by-step explanation:
Sum of first K + 1 odd numbers (S): 1 + 3 + 5 + ... + (2K - 3) + (2K - 1) + (2K + 1).
(1 + 3 + 5 + ... + (2K - 3) + (2K - 1) + (2K + 1)) + ((2K + 1) + (2K - 1) + (2K - 3) + ... + 5 + 3 + 1 ) = (2K + 2) + (2K + 2) + (2K + 2) + ... + (2K + 2) + (2K + 2) + (2K + 2) (repeat K + 1 times) = (2K + 2)(K + 1) = 2S
2S = (2K + 2)(K + 1)
S = (2K + 2)(K + 1)/2
S = (2K^2 + 4K + 2)/2
S = K^2 + 2K + 1
S = (K + 1)^2
(4n + n^2)/2 = 2n + (n^2)/2
<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:
$1.41
Step 1:
Subtract 9 from 26.
26 - 9 = 17.
Step 2:
Divide 17 by 12.
17 ÷ 12 = 1.4166...
The answer is $1.41. Hope it helps!
Jannelle could go 4,720 miles hope this helps
