XI_Maths_Sequences and Series_2 Online Test

Three non-zero real numbers form an A.P. and the squares of these numbers taken in the same order form a G.P. Then the number of all possible common ratios of the G.P. is ____.
1
2
3
None of the above
If  then  are in ____.
H.P.
G.P.
A.P.
None of the above
The sum of three decreasing numbers in A.P. is 27. If  are added to them respectively, the resulting series is in G.P. The numbers are ____.
5, 9, 13
15, 9, 3
13, 9, 5
17, 9, 1
Given  where  are real numbers, then ____.
If in the equation  the sum of roots is equal to sum of square of their reciprocals, then  are in ____.
A.P.
G.P.
H.P.
None of the above
If  are in G.P.  and  are in A.P., then ____.
All the above
If  are in A.P. and  are in G.P. , then  is ____.
None of the above
The  term of series  will be ____.
The sum of  terms of the following series  shall be ____.
If the  term of a series be , then the sum of  terms of the series is ____.
Description:

This test is based on AIEEE, IIT JEE for those students who studying in class XI

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