Question

Find the 22nd term of the arithmetic sequence whose common difference is d = 3 and whose first term is a1=5

Answer 1

The nth term of an arithmetic sequence is given by the formula,

`a_n=a+(n-1)d`

Here, 'a' denotes the first term, and 'd' denotes the common difference of the arithmetic sequence.

According to the given information,

`\begin{gathered} a_1=a=5 \\ d=3 \\ n=22 \end{gathered}`

Substitute the values in the formula to obtain the 22nd term,

`\begin{gathered} a_(22)=5+(22-1)\cdot3 \\ a_(22)=5+(21)\cdot3 \\ a_(22)=5+63 \\ a_(22)=68 \end{gathered}`

Thus, the 22nd term of the arithmetic sequ