## Sequence and Series Quiz-6

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 x,2x+2, and 3x+3 are first three terms of a G.P., then the fourth term is
•  27
•  -27
•  13.5
•  -13.5
Solution
Q2.
•
•
•
•
Q3.   Let f(x)=2x+1. Then the number of real number of real values of x for which the three unequal numbers f(x),f(2x),f(4x) are in G.P. is
•  1
•  2
•  0
•  None of These
Solution

Q4.
•
•
•
•
Solution

Q5. 150 workers were engaged to finish a piece of work in a certain number of days. Four workers stopped working on the second day, four more workers stopped their work on the third day and so on. It took 8 more days to finish the work. Then the number of days in which the work was completed is
•   29days
•   24days
•   25days
•   None of These
Solution
Q6. If a,b,c are digits, then the rational number represented by 0. cababab… is
•   cab/990
•   (99c+ba)/990
• (99c+10a+b)/99
•   (99c+10a+b)/990
Solution
Q7. Sum of the first n terms of the series 1/2+3/4+7/8+15/16+⋯ is equal to
•   2n-n-1
•   1-2-n
•   n+2-n-1
•   2n+1
Solution
Q8.
•  50
•  52
•  54
•  None of These
Solution
Q9.
•  1/3
•  3
•  1/2
•  2
Solution
Q10.  Sum of three numbers in G.P. be 14. If one is added to first and second and 1 is subtracted from the third, the new numbers are in A.P. The smallest of them is
•   2 .
•   4
•   6
• 10
Solution

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