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The first,fifth and seventh terms of an arithmetic progression (AP) correspond to the first three consecutive terms of a decreasing Geometric Progression (GP).The first term of each progression is 64,the common
difference of the AP is d and the common ratio of the GP is r.
(a)(i) Write two equations involving d and r.
(ii) Find the values of d and r
(b) Find the sum of the first 10 terms of:
(i) the Arithmetic Progression (AP).
(ii)the Geometric Progression (GP).