This week in Pre calculus11, I learned about the Arithmetic sequence. This lesson was an easy lesson, but I had a little bit of struggling at first when I had to solve the question that seemed a little bit hard for me, but after several practicing, I learned how to solve the question, Here is the Example:
Example 1: How many terms are in the sequence 2, 6, 10, 14,…….,50
first step:
we know the first term is 2, the common difference is 4, and we say the is 50
second step:
the equation is=> = +(n-1)d
third step:
Now we could put the things that we know in the equation:
50= 2 +(n-1)4
forth step:
we don’t know what is n in (n-1) so we would multiply the common difference which is 4 by n and -1
50= 2 +4n-4
Last step:
so now we put the unknown on one side and the known on the other side
50-2+4= 4n
52= 4n
=
n= 13
so there are 13 terms in that sequence