Question

What is the nth term of the geometric sequence -2,10,-50

Answer 1

Answer:

$T_n=-1(-5)^n^-^1$

Step-by-step explanation:

We are given;

A geometric sequence;

-2,10,-50

Required to determine the nth term

The nth term in a geometric sequence is given by the formula;

$T_n=a_1r^n^-^1$

where $a_1$ is the first term and r is the common ratio;

In this case;

$a_1=-2$

r = 10 ÷ -2

  = -5

Therefore;

To get the nth term in the given geometric sequence we use;

$T_n=-1(-5)^n^-^1$

Thus, the nth term is $T_n=-1(-5)^n^-^1$