Question

23. Find the value of termin the sequence.a43, 1, -1, -3, -5,...-23-11-25

Answer 1

The terms in the sequence are;

`3,1,-1,-3,-5`

The first term is 3

The common difference is -2.

To determine the nth term of the Arithmetic Sequence (AP), we shall apply the formula;

`\begin{gathered} Nth=a+(n-1)d \\ n_(14)=3+(14-1)*-2 \\ n_(14)=3+(13)*-2 \\ n_(14)=3+(-26) \\ n_(14)=3-26 \\ n_(14)=-23 \end{gathered}`

Therefore the 14th term (n14) is -23