## Sequence and Series Quiz-13

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.
•   4006/3006
•   4003/3007
•   4006/3008
•   4006/3009
Solution
Q2. The sum of series 1+4/5+7/(52)+10/(53)+⋯∞ is
•   7/16
•   5/16
•   105/64
•   35/16
Solution
Q3.
•   (-1)n[(n+1)an+1-a]
•   (-1)n(n+1)an+1
•   (-1)n((n+2)an+1)/2
•   (-1)n(nan)/2
Solution

Q4.
•   1/((1-a)(1-b))
•   1/((1-a)(1-ab))
•  - 1/((1-b)(1-ab))
•   1/((1-a)(1-b)(1-ab))
Solution
Q5.If a,1/b,c and 1/p,q,1/r form two arithmetic progressions of the same common difference, then a,q,c are in A.P. if
•  p,b,r are in A.P.
•   1/p,1/b,1/r are in A.P.
•   p,b,r are in G.P.
•   None of These
Solution
Q6.
•   83/2
•   83
•   83/8
•  83/4
Solution
Q7. If x,y,z are real and 4x2+9y2+16z2-6xy-12yz-8zx=0, then x,y,z are in
•   A.P.
•   G.P.
•   H.P.
•   None of These
Solution
Q8.
•  2
•  3
•  5
•  6
Solution
Q9. If x,y, and z are in G The sum to 50 terms of the series 3/(12)+5/(12+22)+7/(12+22+32)+⋯ is
•   100/17
•   150/17
•   200/51
•   50/17
Solution
Q10.
•   2
•   4
•   6
• 8
Solution

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Sequence and Series-Quiz-13