Question:
Let {ππ }πβ₯1 be a sequence such that π1=1 and 4ππ+1=\(\sqrt{45 + 16π_π} ,π\)=1, 2, 3, β¦ . Then, which one of the following statements is TRUE?
Let {ππ }πβ₯1 be a sequence such that π1=1 and 4ππ+1=\(\sqrt{45 + 16π_π} ,π\)=1, 2, 3, β¦ . Then, which one of the following statements is TRUE?
Updated On: Oct 1, 2024
- {ππ }πβ₯1 is monotonically increasing and converges to \(\frac{17}{8}\)
- {ππ }πβ₯1 is monotonically increasing and converges to \(\frac{9}{4}\)
- {ππ }πβ₯11 is bounded above by \(\frac{17}{8}\)
- \(β^β _ {n=1} a_n\) is convergent
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The Correct Option is B
Solution and Explanation
The correct option is (B): {ππ }πβ₯1 is monotonically increasing and converges to \(\frac{9}{4}\)
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