# Question Video: Finding the Terms of a Constant Sequence Mathematics

Find the first five terms of the sequence with general term 𝑎_(𝑛) = 37, where 𝑛 ≥ 1.

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### Video Transcript

Find the first five terms of the sequence with the general term 𝑎 sub 𝑛 equals 37, where 𝑛 is greater than or equal to one.

We’re told that the general term is 𝑎 sub 𝑛 equals 37, where 𝑛 is greater than or equal to one. When we’re given the general term, we use the variable 𝑛 to represent the term number. At first, you might not know what to do with this information. So, let me give you a different example.

What if I told you that the function 𝑓 of 𝑥 equals 37 when 𝑥 is greater than or equal to one? If we wanted to graph that, we might write it that 𝑦 equals 37, where 𝑥 is greater than or equal to one. And if we were to sketch this out on a graph, we would know that it starts when 𝑥 is greater than or equal to one, and that all the values equal 37. This function is a horizontal line because as long as 𝑥 is greater than or equal to one, 𝑦 is going to be 37.

The same thing is true with this general form. If 𝑎 sub 𝑛 equals 37, then 𝑎 sub one, the first term, equals 37, and 𝑎 sub two, the second term, equals 37, and it could keep going. Which means that the first five terms will all be 37.