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Arithmetic and Geometric Progression — Practice Quiz

ICSE · Class 10 · Mathematics

Try a 4-question quiz on Arithmetic and Geometric Progression for ICSE Class 10 Mathematics: tap an answer to check it and see why.

36 questions31 flashcards9 formulas & key relations5 concepts

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An infographic summarizing how an A.P. is affected when a constant is added to, subtracted from, multiplied by, or divided by each term.
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Quick Quiz: Arithmetic and Geometric Progression

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1

Find the 10th term of the arithmetic progression: 3, 7, 11, 15, ...

2

In the geometric progression 2, 6, 18, 54, ..., what is the common ratio?

3

Find the sum of first 8 terms of the arithmetic progression: 5, 9, 13, 17, ...

4

The 5th term of a GP is 48 and the 8th term is 384. Find the first term.

36 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following sequences are arithmetic progressions?

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2, 5, 8, 11, 14, 10, 7, 4, 1, -2, 15, 15, 15, 15, 15

AP has constant difference. (1) d=3, (2) squares-not AP, (3) d=-3, (4) GP with r=2, (5) d=0. Options 1, 3, and 5 are APs.

2multiple choice

If the sum of first n terms of an AP is 3n² + 2n, find the common difference.

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6

Given Sn = 3n² + 2n. T1 = S1 = 3(1)² + 2(1) = 5. T2 = S2 - S1 = [3(4) + 4] - 5 = 16 - 5 = 11. d = T2 - T1 = 11 - 5 = 6.

3multiple choice

Three numbers in GP have sum 14 and product 64. Find the middle term.

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4

Let numbers be a/r, a, ar. Sum: a/r + a + ar = 14. Product: (a/r) × a × ar = a³ = 64, so a = 4. The middle term is 4.

4multiple choice

Find the number of terms in the AP: 7, 13, 19, ..., 205

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34

a = 7, d = 6, last term l = 205. Using l = a + (n-1)d: 205 = 7 + (n-1)6. Solving: 198 = (n-1)6, so n-1 = 33, therefore n = 34.

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Frequently Asked Questions

What are the important topics in Arithmetic and Geometric Progression for ICSE Class 10 Mathematics?
Key topics in Arithmetic and Geometric Progression include Basic Ideas and Definitions, Arithmetic Progression and Its Formulas, Selecting Numbers in Arithmetic Progression, Geometric Progression and Its Formulas. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How many practice questions are there for Arithmetic and Geometric Progression?
There are 36 questions on Arithmetic and Geometric Progression. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

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