Geometric progression properties – UGC NET Question

Q: Which of the following statements about geometric progressions (GPs) are correct?

(A) A geometric progression is a sequence in which each term after the first is obtained by multiplying the preceding term by a fixed non-zero ratio;
(B) In a GP with first term a and common ratio r ≠ 1, the nth term is given by a·rⁿ⁻¹;
(C) For a finite GP with first term a, common ratio r ≠ 1 and n terms, the sum is Sₙ = a(1 − rⁿ)/(1 − r);
(D) In any GP with common ratio greater than 1, the terms form an arithmetic progression;
(E) Geometric progressions are used to model exponential growth and decay in applications;
Choose the correct answer from the options given below:

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