Video: Finding the Terms of a Constant Sequence

Find the first five terms of the sequence with general term π‘Ž_(𝑛) = 37, where 𝑛 β‰₯ 1.

01:28

Video Transcript

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

We’re told that the general term is π‘Ž 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 π‘₯ equals 37 when π‘₯ is greater than or equal to one? If we wanted to graph that, we might write it that 𝑦 equals 37, where π‘₯ 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 π‘₯ is greater than or equal to one, and that all the values equal 37. This function is a horizontal line because as long as π‘₯ is greater than or equal to one, 𝑦 is going to be 37.

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

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.