Question

The first term of a geometric sequence is –2 and the common ratio is -1/4 . What are the next three terms of the sequence

Answer 1

well -2(-1/4) is .5

so -2, .5,(multiply each by -1/4)

-2, 0.5, -0.125, 0.03125

Answer 2

Answer:

$\text{The next three terms of G.P is }\frac{1}{2}, \frac{-1}{8}, \frac{1}{32}$

Step-by-step explanation:

Given that the first term of a geometric sequence is -2 and the common ratio is -1/4.

we have to find the next three terms of the sequence.

The geometric sequence can be written as

$a, ar, ar^2, ar^3, ar^4,...$

where a and r are the first term and common ratio.

$a=-2, r=\frac{-1}{4}$

$\text{Second term=}ar=-2\times (\frac{-1}{4})=\frac{1}{2}$

$\text{Third term=}ar^2=-2\times (\frac{-1}{4})^2=\frac{-1}{8}$

$\text{Fourth term=}ar^3=-2\times (\frac{-1}{4})^3=\frac{1}{32}$

$\text{The next three terms of G.P is }\frac{1}{2}, \frac{-1}{8}, \frac{1}{32}$