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Sequence & Series Quiz

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Question 1

If p and q are positive real numbers such that p² + q² = 1, then the maximum value of (p + q) is

Question 2

x and y are positive numbers. If 3x+4y=5, the greatest value of x²y³ is

Question 3

Find two positive numbers whose difference is 12 and their Arithmetic mean is 2 more than the geometric mean.

Question 4

If the ratio of the GM of two positive numbers to their AM is

Find the ratio of the numbers.

Question 5

Maximum value of a²bc³, if a+b+c = 6

Question 6

Find the sum of the series

Question 7

Find the value of

Question 8

Let p = 3^1/3 3^2/9 3^3/27 …….. ∞, then p^1/3 is equal to

Question 9

Evaluate 1+

infinite terms

Question 10

Find the value of

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Dec 15IPM, CUET & BBA Exams