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An arithmetic progression (AP) has the first term as a and common difference as d.
a).Write down the first, third and the eleventh terms of the AP in terms of a and d.
b).The AP above is such that it is increasing and its first, third and eleventh terms of the AP form the first three
terms of a G.P. The sum of the fifth and ninth terms of the AP is 80.
i).Find the first term and the common difference of the AP.
ii).Write down the eighth and tenth terms of the AP.
iii).Calculate the sum of the first 15 terms of the AP.