Question

If the sixth term is 22 and the common difference is six what is the 50th term

Answer 1

In order to calculate the nth term of a arithmetic progression, we can use the formula:

`a_n=a_q+(n-q)r`

Where r is the ratio of the progression.

If the common difference is 6, that means the ratio is 6.

So, to find the 50th term, let's use n = 50 and q = 6 (since we know the 6th term):

`\begin{gathered} a_(50)=a_6+(50-6)\cdot6 \\ a_(50)=22+44\cdot6 \\ a_(50)=22+_{}264 \\ a_(50)=286 \end{gathered}`

So the 50th term is 286.