Respuesta :
The sequence 1,1,2,3,5,8, ........... doesn't form an AP as they have the varying common difference.
What is the sequence of AP arithmetic progression?
In Arithmetic Progression, the difference between these two numerical orders is a fixed number (AP). Arithmetic Sequence is another name for it.
We'd come across a few specific keywords in AP that had been labeled as:
- The first term (a)
- Common difference (d)
- Term nth (an)
- The total of first n terms (Sn)
As shown below, the AP can also be explained in expressed in the form of common differences.
- The following is the procedure for evaluating an AP's n-th term: an = a + (n − 1) × d
- The arithmetic progression sum is as follows: Sn = n/2[2a + (n − 1) × d].
- Common difference 'd' : d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.
Now, the sequence given is; 1,1,2,3,5,8, ...........
The series contains of given 6 terms.
Let the initial term be 'a₁' = 1.
The second term be 'a₂' = 1.
The third term be 'a₃' = 2.
And, the fourth term is 'a₄' = 3.
For the sequence to form the AP, they must have the equal common difference. So,
d = a₃ - a₂
Substitute the values.
d₁ = 2 - 1
d₁ = 1
Thus, the calculated common difference is 1.
or d = a₅ - a₄ (Put the values)
d₂ = 5 - 3
d₂ = 2
Since, d₁ ≠ d₂
Thus, we can say that the given sequence is not forming an AP.
To know more about the Arithmetic Sequence, here
https://brainly.com/question/26115620
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