The numbers one to ten, in alphabetical order of their names in English.
10-2x for x = 0, 1, 2, 3, ... Since the domain of an arithmetic sequence is the set of natural numbers, then the formula for the nth term of the given sequence with the first term 10 and the common difference -2 is an = a1 + (n -1)(-2) = 10 - 2n + 2 = 12 - 2n.
1*10^3 + 3*10^2 + 4*10^1 + 4*10^0.
22,600,000 = (2 x 10^7) + (2 x 10^6) + (6 x 10^5) + (0 x 10^4) + (0 x 10^3) + (0 x 10^2) + (0 x 10^1) + (0 x 10^0)
110 million = (1 x 10^8) + (1 x 10^7) + (0 x 10^6) + (0 x 10^5) + (0 x 10^4) + (0 x 10^3) + (0 x 10^2) + (0 x 10^1) + (0 x 10^0)
(2 x 10^7) + (5 x 10^6) + (0 x 10^5) + (0 x 10^4) + (0 x 10^3) + (0 x 10^2) + (0 x 10^1) + (0 x 10^0)
The general term for the sequence 0, 1, 1, 2, 2, 3, 3 is infinite sequence.
10-2x for x = 0, 1, 2, 3, ... Since the domain of an arithmetic sequence is the set of natural numbers, then the formula for the nth term of the given sequence with the first term 10 and the common difference -2 is an = a1 + (n -1)(-2) = 10 - 2n + 2 = 12 - 2n.
The vector representation of a convolutional code is g1=[1 1] and g2=[1 0]. If the received sequence is 11 11 01 10, we can use Viterbi Algorithm to decode it. The full trellis diagram, including the updated trellis state metrics, is shown below: Time t1: State 0 (00): Metric = 0 State 1 (10): Metric = 0 Time t2: State 0 (00): Metric = 0 + (1-1)^2 + (1-1)^2 = 0 State 1 (10): Metric = 0 + (1-1)^2 + (1-0)^2 = 1 Time t3: State 0 (00): Metric = 0 + (1-1)^2 + (1-1)^2 = 0 State 1 (10): Metric = 1 + (1-1)^2 + (1-0)^2 = 2 State 0 (01): Metric = 0 + (1-1)^2 + (0-1)^2 = 1 State 1 (11): Metric = 0 + (1-1)^2 + (0-0)^2 = 0 Time t4: State 0 (00): Metric = 0 + (1-1)^2 + (1-1)^2 = 0 State 1 (10): Metric = 2 + (1-1)^2 + (1-0)^2 = 3 State 0 (01): Metric = 1 + (1-1)^2 + (0-1)^2 = 2 State 1 (11): Metric = 0 + (1-1)^2 + (0-0)^2 = 0 Therefore, the decoded sequence is 11 11 01 10.
It is7
The rule of the Fibonacci sequence is simple. Take the previous number in the sequence, and add it to the current number. The sequence starts with 0 and 1. 0, 1 So, add 0+1=1. The sequence now contains three numbers. 0, 1, 1 Now, add 1+1=2. This brings us to four numbers. 0, 1, 1, 2 Add 1 and 2. (1+2=3) 0, 1, 1, 2, 3 Now it gets a bit tricky. Add 2+3=5, so the next number is 5. 0, 1, 1, 2, 3, 5 Continue to add the numbers accordingly. (3+5=8) 0, 1, 1, 2, 3, 5, 8 Proceed. 0, 1, 1, 2, 3, 5, 8, 13, 25, 38, 63, 101, 164...
The set of integers.
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55
12110 0r 1210
They are in alphabetical order.
0 = 0/10, 1/2 = 5/10 and 1 = 10/10 so 6/10 is nearest to 5/10 or 1/2.
The sequence is xn = xn-1 + 2
13, 21 - it is the Fibonacci sequence