Question

The first five terms in a pattern of numbers are shown. 2.4, -3.4, -9.2, 15, -20.8, If the pattern continues, which expression can be used to find the nth term?

Answer 1

The nth term of a Sequence.

`\begin{gathered} d=T_2-T_1=T_3-T_2 \\ d=-3.4-2.4\text{ =-9.2--3.4} \\ d=-5.8\text{ =-9.2+3.4} \\ d=-5.8=-5.8 \\ \text{This confirms the sequence to be an Arithmetical Sequence.} \end{gathered}`

The general formula of Arithmetical Sequence is given by;