Respuesta :
The total number of seats are there is row 16 is 65.
What is the sequence of AP arithmetic progression?
In Arithmetic Progression, the difference between two different arithmetic orders is a fixed number (AP). Arithmetic Sequence is another name for it.
We'd come along through a few specific terms 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 referred to in terms 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' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.
Now, as the values given in the question;
There are total 16 rows in the arena.
Thus, n = 16.
There are 20 seats present in row 1.
Consider the first term as 'a₁' = 20.
Similarly, there are 23 seats present at row 2.
Consider 'a₂' = 23 is the second term.
Now, calculate the common difference;
d = a₂ - a₁
Put the values in the 'd'.
d = 23 - 20 = 3.
Now, compute the total number of seats in 16th row bu nth formula.
n-th term: an = a + (n − 1) × d
a₁₆ = a₁ + (n - 1)d
a₁₆ = 20 + (16 - 1)3
a₁₆ = 20 + 45
a₁₆ = 65
Therefore, the total number of seats present in the 16th row is 65.
To know more about the arithmetic progression, here
brainly.com/question/24191546
#SPJ4
