NDA 2021 Mathematics question
Consider the following statements : 1. If each term of a GP is multiplied by same non-zero number, then the resulting sequence is also a GP. 2. If each term of a GP is divided by same non-zero number, then the resulting sequence is also a GP. Which of the above statements is/are correct?
Answer: (C)
Solution
Let the GP be and let . Statement 1: Multiplying by gives ; the ratio of consecutive terms is still , so it is a GP with first term . Correct.
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