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A school has four sections of chemistry in class XII having 40, 35, 45 and 42 students. The mean marks obtained in chemistry tests are 50, 60, 55 and 45 respectively for the four sections, the overall average of marks per student is
If ∑an be the alternative series and ∑qn, ∑pn are series of negative and positive terms respectively if ∑an is conditionally convergent, then
A conditionally converges series is a series which is
If ai > 0 for i = 1, 2, 3,..,n and a1, a2, a3, ...an = 1 then the greatest value of (1 + a1)(1 + a2)... (1 + an) is:
For real number a, if converges to A and B respectively, then
What is true about the geometric series 1 +r + r2 + ... (r > 0)?
Let ∑un be a series of positive terms and let , then which among the following does not express the condition for the Cauchy’s nth root test?
Which of the following series is alternating series?
The domain of convergence for 1 + x + x2 + ... is
Which of the following inequalities will be used in showing the serie converges?