Question

A geometric sequence is shown below: a0, -11, 22, a1, 88, -176. A) What is the common ratio for this geometric sequence? -2 a2 B) What are the missing terms in the geometric sequence shown above?

Answer 1

Answer:

Step-by-step explanation:

The given geometric sequence is:

$a_{0},-11,22,a_{1},88,-176$

(A) Now, the common difference of the given Geometric sequence is :

$\frac{22}{-11}=-2$, also $\frac{-176}{88}=-2$

Thus, the common difference of the given geometric sequence is -2.

(B) The missing terms of the given geometric sequence are $a_{0}$ and $a_{1}$.

Thus, $a_{0}=\frac{-11}{-2}=5.5$ and $a_{1}=\frac{88}{-2}=-44$.

Therefore, $a_{0}=5.5$ and $a_{1}=-44$ are the missing terms.

Answer 2

Common ratio  = 22/-11 =  -2  also -76 / 88  = -2  confirms it.


B/  a0  = -11 / -2 = 5.5   and a1 = 88 / -2 = -44