Respuesta :
Answer:
25,31,37
Step-by-step explanation:
n should be positive integer number. The three numbers in both sequences have different term number n but same value. We can equalize each nth term in the question to "a" which represents one of the three numbers.
a=2n-1, then n=(a+1)/2
a=3n+1, then n=(a-1)/3
remember the two n above are different but both should be positive integer. That means, we have to find the "a" number that gives me an integer n for the first equation. The possible numbers between 20 to 40 are 22,25,28,31,34,37,40.
The possible numbers for the second equation are 21,23,25,27,29,31,33,35,37,39.
Now find the common numbers between the two sets above. They are 25,31,37
The expression for the sequences specifies the values each term that are
contained within the sequence.
Three numbers that are common to both sequence are; 25, 27, 31
Reason:
The expression for the nth term of the first sequence is 2·n - 1
The expression for the nth term of the second sequence is 3·n + 1
Therefore;
The numbers in the first sequence are odd numbers including;
21, 23, 25, 27, 29, 31, 33, 35, 37, and 39
Second sequence;
The numbers in the second sequence are 1 higher than the multiples of 3, including;
22, 25, 27, 31, 34, 37, 40
Therefore, the numbers that are in both sequence are the odd numbers.
between in the second sequence, 3·n + 1, between 20 and 40.
- Which are; 25, 27, 31, and 37
Three numbers that are in to both sequence are; 25, 27, 31
Learn more here:
https://brainly.com/question/20886273
