Predicting What Comes Next : Exploring Sequences and Progressions — Practice Quiz
CBSE · Class 9 · Mathematics
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Quick Quiz: Predicting What Comes Next : Exploring Sequences and Progressions
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For the AP with first term 240 and common difference 40, what is the 10th term of the taxi fare sequence in rupees if the rule is written as t_n = 200 + 40n?
A sequence is given by s_n = 5n - 2. What is the position of 308 in this sequence?
A GP begins with 5 and has common ratio 3/4. What is the 4th term of the sequence?
For the GP 3, 6, 12, 24, 48, ..., what is the 6th term?
Sample Questions
The sum of the first 24 natural numbers is subtracted from the sum of the first 58 natural numbers. What is 25 + 26 + ... + 58?
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1411
Use S_n = n(n+1)/2. S_58 = 58 × 59 / 2 = 1711. S_24 = 24 × 25 / 2 = 300. So 25 + 26 + ... + 58 = 1711 - 300 = 1411.
A ball starts from 24 feet and bounces to 3/4 of its previous height each time. After 7 bounces, what is the height in feet?
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About 3.20 feet
The height after each bounce forms a GP with first bounce 18 feet and ratio 3/4. After 7 bounces, height = 24 × (3/4)^7 = 3.2034375 feet, which is about 3.20 feet.
In the Sierpiński triangle, the number of black triangles at stage 5 is what value?
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243
The number of black triangles is t_n = 3^n. At stage 5, t_5 = 3^5 = 243.
In the Sierpiński triangle, what is the black area at stage 4 if stage 0 is taken as 1 square unit?
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81/256
The black area follows s_n = (3/4)^n. At stage 4, s_4 = (3/4)^4 = 81/256.
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- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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