JEE Advanced Sequences and Series — practice questions — page 2

Explore 37 free Sequences and Series questions in JEE Advanced Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Sequences and Series questions and exercises with answers

Showing questions 31–37 of 37.

For a geometric progression with first term 2 and ratio 2, the sum of ten terms is:Read the answer and worked solution →Inserting 4, 16 and 64 between 1 and 256 makes the resulting sequence a:Read the answer and worked solution →Arithmetic or geometricRead the answer and worked solution →Which ones belongRead the answer and worked solution →Sequence or seriesRead the answer and worked solution →Which is largerRead the answer and worked solution →Complete the definitionsRead the answer and worked solution →

Worked practice questions

For a geometric progression with first term 2 and ratio 2, the sum of ten terms is:

1024
1042
2046
2064

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Correct answer: C. 2046

1. Here a is 2, r is 2 and n is 10. 2. The sum formula gives 2 times 2 to the tenth less one. 3. Two to the tenth is 1024, so the sum is 2 times 1023. 4. That is 2046. _Source: syllabus Mathematics, Ch 8 'Sequences and Series'_

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Inserting 4, 16 and 64 between 1 and 256 makes the resulting sequence a:

Geographic progression
Geological progression
Geometric proportion
Geometric progression

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Correct answer: D. Geometric progression

1. Each of these numbers is four times the one before it. 2. A constant multiplier is the signature of one kind of progression. 3. Inserting 4, 16, 64 between 1 and 256 makes the resulting sequences in G.P. 4. So the answer is a geometric progression. _Source: syllabus Mathematics, Ch 8 'Sequences and Series'_

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Arithmetic or geometric

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Left

Arithmetic

Items

Region
Arithmetic
Item
Add each step
Region
Arithmetic
Item
Common diff
Region
Geometric
Item
Multiply steps
Region
Geometric
Item
Common ratio
Region
Geometric
Item
Terms non-zero
Region
both
Item
Is a sequence
Region
both
Item
Has a pattern

Right

Geometric

Instructions

Drop each property into its progression, or into the overlap.

_Source: syllabus Mathematics, Ch 8 'Sequences and Series'_

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