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Class XI Maths Progressions & Series 5: Important Questions

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Question 1

Let the sequence a₁ , a₂ , a₃ ,..., a₂_n form an AP. Then a₁² - a₂² - a₃² + a₄² - a₅² + ......+a²_2n-1 - a²_2n is

Question 2

The harmonic mean of two numbers is 4 and the arithmetic and geometric mean satisfies the relation 2A+G²=27, the numbers are

Question 3

The sum of n terms of the series

Question 4

A series, whose n^th term is (n/x)+y, then the sum of r terms will be

Question 5

The sum of n terms of the following series, 1³ + 3³ + 5³ + 73³ +.... is

Question 6

The value of the infinite series
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Question 7

The sum of the series
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$Description: Description: E:\VITJEE\Vitjee-2012-Maths_files\image119.png$ is

Question 8

The sum of the series 1.3.5+2.5.8+3.7.11+....... upto ‘n’ terms is :

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Dec 31JEE & BITSAT