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
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.