Question

Question 2 Find the 10th term of the sequence -2,-16, -128,-1024... Do not use spaces or commas in your answer.

Answer 1

The first term is -2, and the common ratio is 8.

The nth term of a geometric progression is;

`\begin{gathered} T_n=ar^((n-1)) \\ T_(10)=2*(-8)^(10-1) \\ T_(10)=2*(-8)^9 \\ T_(10)=2*(-134217728) \\ T_(10)=-268,435,456 \end{gathered}`

The 10th term is equal to -268,435,456