Sequences and Series

187 Maharashtra State Board Class 11 Mathematics practice questions with answers and worked solutions.

Difficulty: 60 easy · 86 moderate · 41 hard.
Most-asked subtopics: Geometric Progression — General Term and Sum (101), Properties of Summation (26), Sum of Infinite Terms of a G.P. (20).
Updated 16 August 2026.

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Set · 2 questions
Find $n^{\text{th}}$ term of the following G.P.
- #1Geometric Progression — General Term and Sum
- #2Geometric Progression — General Term and Sum
#3Geometric Progression — General Term and Sum
#4Geometric Progression — General Term and Sum
#5Geometric Progression — General Term and Sum
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#6Geometric Progression — General Term and Sum
#7Geometric Progression — General Term and Sum
#8Geometric Progression — General Term and Sum
#9Geometric Progression — General Term and Sum
#10Geometric Progression — General Term and Sum
#11Geometric Progression — General Term and Sum
Set · 5 questions
Check whether the following sequences are G.P. If so, write $t_n$ .
- #12Geometric Progression — General Term and Sum
- #13Geometric Progression — General Term and Sum
- #14Geometric Progression — General Term and Sum
- #15Geometric Progression — General Term and Sum
- #16Geometric Progression — General Term and Sum
Set · 4 questions
For the G.P.
- #17Geometric Progression — General Term and Sum
- #18Geometric Progression — General Term and Sum
- #19Geometric Progression — General Term and Sum
- #20Geometric Progression — General Term and Sum
#21Geometric Progression — General Term and Sum
#22Geometric Progression — General Term and Sum
#23Geometric Progression — General Term and Sum
#24Geometric Progression — General Term and Sum
#25Geometric Progression — General Term and Sum
#26Geometric Progression — General Term and Sum
#27Geometric Progression — General Term and Sum
#28Geometric Progression — General Term and Sum
#29Geometric Progression — General Term and Sum
#30Geometric Progression — General Term and Sum
Set · 3 questions
The numbers $3$ , $x$ and $x + 6$ are in G.P. Find
- #31Geometric Progression — General Term and Sum
- #32Geometric Progression — General Term and Sum
- #33Geometric Progression — General Term and Sum
Set · 3 questions
Mosquitoes are growing at a rate of 10% a year. If there were 200 mosquitoes in the beginning. Write down the number of mosquitoes after
- #34Geometric Progression — General Term and Sum
- #35Geometric Progression — General Term and Sum
- #36Geometric Progression — General Term and Sum
Set · 3 questions
The numbers $x - 6$ , $2x$ and $x^2$ are in G.P. Find
- #37Geometric Progression — General Term and Sum
- #38Geometric Progression — General Term and Sum
- #39Geometric Progression — General Term and Sum
#40Geometric Progression — General Term and Sum
#41Geometric Progression — General Term and Sum
#42Geometric Progression — General Term and Sum
#43Geometric Progression — General Term and Sum
#44Geometric Progression — General Term and Sum
#45Geometric Progression — General Term and Sum
#46Geometric Progression — General Term and Sum
#47Geometric Progression — General Term and Sum
#48Geometric Progression — General Term and Sum
#49Geometric Progression — General Term and Sum
#50Geometric Progression — General Term and Sum

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Sequences and Series

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