Arithmetic sequence

rachelmaddie

Full Member
Joined
Aug 30, 2019
Messages
851
Hi. I want to check my work for this please.
D5090947-6700-42DC-A37A-A07EB5B62239.jpeg
There is a common difference of 8 between the number of seats in consecutive rows which means they are in an arithmetic sequence.
Use the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d
where a1 is the first term and d is the common difference.
From the given, a1 = 16 seats and d = 8 seats. Hence, for n = 16 (16th row),
a16 = 16 + (16 - 1)(8)
a16 = 16 + (15)(8)
a16 = 16 + 120
a16 = 136

A total of 136 people can be accommodated in the sixteenth row.
 
I agree with your answer of \(136\)
But hate your notation.
Here is a standard way to do subscripts.
a_{16} if you use LaTeX it gives \(a_{16}\).
 
Top