Answer:
The sixth term;
= 16 + (6-1)4 = 16 +20 = 36
Sixth term = 36
Pattern; a = 16, d = 4
16,20,24,28,32,36...
Completed question;
Chairs for an orchestra are positioned in a curved form with the conductor at the center. The front row has 16 chairs, the second has 20 and the third has 24, and so on. describe the pattern of the sequence. How many chairs are in the 6th row?
Explanation:
This scenario can be represented by an arithmetic progression sequence.
nth term of an AP = a + (n-1)d
Where;
a = first term
d = common difference
n = term number
Given;
First term a = 16
Second term = a + d = 20
since a = 16
a+d = 16+d = 20
d = 20-16 = 4
The sixth term;
= 16 + (6-1)4 = 16 +20 = 36
Sixth term = 36
Pattern; a = 16, d = 4
16,20,24,28,32,36...