Given below are two statements. Let a, r R- 0,1,-1 and n be an even number. STATEMENT …
Mathematics · JEE Main · NTA Exams — Progression and Series
Given below are two statements.
Let \(\text { a, r } \in R-\{0,1,-1\}\) and n be an even number.
STATEMENT - 1: \(a \times a r \times a r^{2} \ldots \times a r^{n-1}=\left(a^{2} r^{n-1}\right)^{\frac{n}{2}}\)
STATEMENT - 2: Product of ith term from the beginning and from the end in a GP is independent of i.
In the light of the above statements, choose the correct answer from the options given below:
- Both the statements are true and Statement - 2 is the correct explanation for Statement - 1
- Both the statements are true but Statement - 2 is not the correct explanation for Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(A) Both the statements are true and Statement - 2 is the correct explanation for Statement - 1
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