Question

An arithmetic sequence is given below.- 10.-17.-24.Find the next term

Answer 1

Answer:

Next term is -31

Explanations;

The given sequence is an arithmetic sequence. The nth term for an arithmetic sequence is given as:

$T_n=a+(n-1)\cdot d$

where:

a is the first term

d is the common difference

n is the number of term

Given the following parameters

a = -10

d = -17-(-10) = -24-(-17) = -7

n = 4 ( we need the 4th term)

Substitute

$\begin{gathered} T_4=-10+(4-1)\cdot-7 \\ T_4=-10+(3)\cdot-7 \\ T_4=-10-21 \\ T_4=-31 \end{gathered}$

Hence the next term of the sequence is -31