Question

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 11, 16, 21, ... Find the 44th term.

Answer 1

215

1) As we have 11,16, 21 we can notice that this is an Arithmetic Sequence. So, we can write the following Explicit Formula for that:

`\begin{gathered} a_n=a_1+(n-1)d \\ a_(44)=11\text{ +43}\cdot5 \\ a_(44)=11\text{ +215} \\ a_(44)=215 \end{gathered}`

Notice that the common difference is given by 16-11 = 5 and 21-16=5, 43 is the( n-1) term and the first term is 11.

2) Hence, the answer is 215