Free physics question bank
Sequence & Series questions with solutions
Practice Mathematical tools and vector for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.
Showing 1–10 of 65 questions
- IntegermediumMathematical tools and vector
Evaluate 1³+2³+...+10³.
NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
Find the sum 1+3+9+...+729.
NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
How many terms of the AP 2, 5, 8, 11, ... must be added to obtain a sum of 155?
NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
The energy retained by an idealised system after successive cycles is E, E/2, E/4, E/8, ... . If the sum of these quantities over all cycles is 200 J, find E in joules.
NEETJEE Mains
Open question & full solution → - MCQmediumMathematical tools and vector
An infinite GP has first term 12 and sum 24. Find its common ratio.
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NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
The speed of an idealised particle after successive stages is 64, 32, 16, 8, ... m/s. Find its speed after the 6th stage, in m/s.
NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
The 4th term of a GP is 24 and its 7th term is 192. Find the positive common ratio.
NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
Evaluate 2²+4²+6²+...+20².
NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
Three positive numbers in GP have product 64. Find the middle term.
NEETJEE Mains
Open question & full solution → - IntegermediumMathematical tools and vector
If 1³+2³+...+n³=2025, find n.
NEETJEE Mains
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