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

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


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

Answer 2

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 :

`(22)/(-11)=-2`, also
`(-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)=(-11)/(-2)=5.5` and
`a_(1)=(88)/(-2)=-44`.

Therefore,
`a_(0)=5.5` and
`a_(1)=-44` are the missing terms.