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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Find -4 on the number line.
Go to the right 6 place values (+6)
You will find your answer
-4 (+6) = 2
2 is your answer
hope this helps
If you're solving for x, you'd move all the terms containing x to the left side of the equation:
d^2y/dx^2+4y/x-12y-cos^2(x)+sin^2(x)=0
If you're solving for y, you'd simplify both sides of the equation, then isolating the variable:
y=xcos(2x)
GCF of 32 and 48 = 16
32 - 48
16(2 - 3) <==
First you would simplify the left side to get,
ln( ( 3x+1 ) / ( 5+x ) ) = ln 2
Then raise both sides as the power of e, so it would basically cancel out the ln's.
3x+1 / 5+x = 2
3x+1 = 2( 5+x )
3x+1 = 10+2x
x = 9
