Sum to infinity of a geometric is twice the sum of first two terms. Then what are the possible values of the common ratio?

Explanation: Concept: • **Geometric Progression (GP):** The series of numbers where the ratio of any two consecutive terms is the same, is called a Geometric Progression. • A Geometric Progression of n terms with first term a and common ratio r is represented as: • The sum of the first n terms of a GP is: • If , then --- Calculation: Let the first term of the GP be and the common ratio be . According to the question: Hence, the possible values of the common ratio are .

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