Sequence and Series Quiz-11

The unit Sequence and Series holds sheer significance in the JEE Advanced and other engineering exams. It has a weightage of 14% pairing with Circles. With focused practice good marks can be fetched from this section. These questions are important in achieving your success in JEE and Other Engineering Exams..

Q1. If a,b and c are in A.P. then a3+c3-8b3 is equal to The sum of 20 terms of a series of which every even term is 2 times the term before it, and every odd term is 3 times the term before it, the first term being unity is
•   2abc
•   6abc
•  4abc
•   None of These
Solution
Q2. An infinite GP has first term x and sum 5, then
•   x< - 10
•   -10
•   0
•   x>10
Solution
Q3. If tndenotes the nth term of the series 2+3+6+11+18+⋯ then t50 is
•   492-1
•   492
•   502+1
•   492+2
Solution

Q4.  The coefficient of x49 in the product (x-1)(x-3)⋯(x-99) is
•  -992
•  1
•  -2500
•  None of These
Solution
Q5.If a,b, and c are in A.P. and b-a,c-b and a are in G.P., then a:b:c is
•  1:2:3
•  1:3:5
•  2:3:4
•  1:2:4
Solution
Q6. The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, then common ratio of the G.P. is
•  1/3
•  2/3
•  1/6
•  None of These
Solution
Q7.The maximum sum of the series 20+19 1/3+18 2/3+⋯ is
•  310
•  300
•  320
•  None of These
Solution
Q8.
•  2010
•  2009
•  2008
•  2
Solution
Q9.
•   (1/2)n-1
•   (1/2)n
•   (1/2)n+1
•   None of These
Solution
Q10. The sum to 50 terms of the series 1+2(1+1/50)+3(1+1/50)2+⋯ is given by
•   2500
•  2550
•   2450
• None of these
Solution

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