Question

A geometric sequence is shown below:

Answer 1

Answer:

A) Common Ratio (r) = -2

B) $a_0=5.5$ and $a_1=-44$

Explanation:

We are given a geometric series with some missing term.

Common ratio of geometric series is ratio two consecutive term.

Common ratio (r) = $\frac{22}{-11}=-2$

Now we find the missing term.

$a_0=a$ First term of the series.

Common ratio r=-2

So, $\frac{-11}{a}=-2$

So, a=5.5

$\therefore a_0=5.5$

Now we find second missing term $a_{1}$. This 4th term of the series

So, $a_1=ar^3$

where, a=5.5 and r=-2

$\therefore a_1=5.5(-2)^3 = 44$