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IIT JEE_Maths_Sequences and Series_3 online Test

If x, y, z are in geometric progression and the expression xb – c y c – a z a – b is equal to 1, then a, b and c are in:
Geometric progression
Arithmetic progression
Harmonic progression
None of the above
The sum of six terms of an arithmetic progression is 9 and the sum of the first 9 terms is 6. the sum of the first fifteen terms will be:
- 6
- 15
3
- 3
If x < 1, the sum of the series 1 + 2x + 3x2+ 4x3 + ….. to infinity is:
1 / (1 – x)
1/ (1 – x)2
½
2/ (1 – x )
Directions: In these questions, a series is given which may consist of number, alphabets or a mixture of both. You have to identify from the choices given against each question, the next term in the series. 3,10,29,66,127?
164
187
218
216
How many terms of the series 3, 9, 27…. Will add up to 363?
5
6
7
8
The next term in the series 13, 25, 51, 101, 203, is:
405
406
407
411
The second term of a geometric progression is 2/3 and the fifth term is 16/81. Find the seventh term.
32/729
16/512
15/524
64/729
Find the next term in the given series in each of these questions. 198, 194, 185, 169, ….
136
144
112
92
Find out the right letters for the questions marks: A MAB N E I F J C O D P G K?
MN
LM
IE
None of these
Find the number which, when added to itself 13 times gives 112.
9
7
8
11
Description:

This test consist of 10 questions.Students should ideally take 10 minutes to complete the test. This test is useful for those students who are preparing for IIT JEE, AIEEE or any other engineering entrance test. This test consist of questions from Sequences and Series and which, in general, is focused in AIEEE and IIT JEE. In this chapter, Geometric Series and Some Other Series are key topic and mostly application based questions are asked.

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