2021 DHS Promo Q4
The first three terms of an infinite series are $16,x,9$.
(i)
Find the value(s) of $x$, if the series is
(a) geometric,
(b) arithmetic.
[3]
(ii)
If all the terms in part (i)(a) are positive, calculate its sum to infinity.
[2]
(iii)
Given that the sum of the first $n$ terms in part (i)(b) is less than $-64$, find the least value of $n$.
[3]
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