# S is a geometric sequence? a)Given that (#sqrtx#-1), 1 and (#sqrtx#+1) are the 1st 3 terms of S, find the value of #x#. b)Show that the 5th term of S is 7+5#sqrt2#

##### 3 Answers

a)

b) see below

#### Explanation:

a) Since the first three terms are

b)

The common ratio is then

Thus, the fifth term is

Please see below.

#### Explanation:

Given that,

So,

The first term

The second term

The common ratio

The

So,

#### Explanation:

For **any** **consecutive terms** **GP,** we have,

Hence, in our case,

With **GP** under

reference are,

So, the **common ratio**

Further,