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
Hence, in our case,
With
reference are,
So, the common ratio
Further,