Question
(a)
The 1st term of an arithmetic series is
and the 6th term is
(ai)
Find the 14th term of the series.
[2]
(aii)
Find the sum of the 51st term to the 60th term inclusive
of the series.
[3]
(b)
The 1st term of a geometric series is and the
6th term is where the common ratio is positive.
(bi)
Find the sum to infinity of the series.
[2]
(bii)
Given that the sum of the first terms is
greater than , show that
Hence find the smallest possible value of
[5]