The equation for the nth term in the arithmetic sequence is 8n + 8.
The number of people that can be accommodated in the 16th row is 136.
<h3>What is an
arithmetic progression?</h3>
Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.
Given that,
No. of seats in first row = 16
No. of seats in second row = 24
No. of seats in third row = 32
Total number of rows = 50
It forms an arithmetic progression
First term = a = 16
common difference d = 8
Number of terms, n = 50
(A) The formula for the n th term of an arithmetic progression is given by
Tn = a + (n - 1) d
= 16 + (n-1) 8
= 16 + 8n - 8
Tn = 8n + 8
(B) Now,
n = 16
The number of seats in 16 th row is given by
T(16) = 8 x 16 + 8
T(16) = 136 seats
Hence, (A)The equation for the nth term in the arithmetic sequence is 8n + 8. and (B) The number of people that can be accommodated in the 16th row is 136.
To learn more about arithmetic progression from the given link:
brainly.com/question/24205483
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Since rectangle ABCD is similar to HGFE, the ratios of the lengths of their corresponding sides are equal. We can infer form our picture that AD is corresponding to EH and DC is corresponding to HG, so lets find the ratios of those corresponding sides and establish a proportion to find the length of HG:
We know that
,
, and
, so lets replace those values in our proportion:
We can conclude that the length of the segment
HG is 9.
Answer: c
Step-by-step explanation:
i did the test
