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An arithmetic progression has the first term a and common difference d.
(a) Write down the third,ninth and the twenty fifth terms of the progression.
(b) The arithmetic progression above is
such that it is increasing and that the third, ninth and the twenty fifth terms form the first three consecutive terms of a geometric progression .The sum of the seventh and twice the sixth
terms of the arithmetic progression is 78.Calculate
(i)the first term and the common difference of the Arithmetic Progression.
(ii)the sum of the first nine terms of the Arithmetic Progression.