Patterns in Number Sequences

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Questions and Answers

What is the correct order of the minimum temperatures recorded in the city?

  • – 2.5, – 2.6, – 2.7, – 2.8, – 2.9, – 3.0, – 3.1
  • – 3.0, – 2.9, – 2.8, – 2.7, – 2.6, – 2.5, – 3.1
  • – 3.1, – 2.9, – 2.8, – 2.7, – 2.6, – 2.5, – 3.0
  • – 3.1, – 3.0, – 2.9, – 2.8, – 2.7, – 2.6, – 2.5 (correct)

What is the total amount of money after paying the loan for 10 months?

  • 50
  • 950
  • 0 (correct)
  • 500

What is the cash prize given to the topper of Class XII?

  • 850
  • 700
  • 800
  • 750 (correct)

What is the total savings after 10 months if `50 are saved each month?

<p>500 (D)</p> Signup and view all the answers

What is the general form of an Arithmetic Progression (AP)?

<p>a, a + d, a + 2d, a + 3d,... (C)</p> Signup and view all the answers

What is the minimum information needed to know about an AP?

<p>Both the first term and the common difference (C)</p> Signup and view all the answers

What is a common characteristic of the terms in an Arithmetic Progression?

<p>Each term is obtained by adding a fixed number to the preceding term. (C)</p> Signup and view all the answers

What is the term used to describe the fixed number that is added to each term in an Arithmetic Progression?

<p>Common difference (B)</p> Signup and view all the answers

What is the value of the common difference in the Arithmetic Progression 3, 3, 3,...?

<p>0 (B)</p> Signup and view all the answers

What is the formula for the nth term of an Arithmetic Progression?

<p>an = a1 + (n-1)d (D)</p> Signup and view all the answers

What is the common difference of the Arithmetic Progression 147, 148, 149,..., 157?

<p>1 (B)</p> Signup and view all the answers

Which of the following is NOT an example of an Arithmetic Progression?

<p>The sequence of prime numbers: 2, 3, 5,... (C)</p> Signup and view all the answers

What is the common difference of the arithmetic progression in the given list: –1, –2, –3, –5?

<p>–2 (C)</p> Signup and view all the answers

Which of the following lists of numbers does not form an arithmetic progression?

<p>2, 4, –2, –4 (B)</p> Signup and view all the answers

What is the taxi fare after 5 km if the fare is ₹ 15 for the first km and ₹ 8 for each additional km?

<p>₹ 51 (D)</p> Signup and view all the answers

What is the amount of air removed from the cylinder at a time by the vacuum pump?

<p>¼ of the remaining air (A)</p> Signup and view all the answers

What is the cost of digging a well after 5 metres if it costs ₹ 150 for the first metre and rises by ₹ 50 for each subsequent metre?

<p>₹ 600 (B)</p> Signup and view all the answers

Which of the following is not an arithmetic progression?

<p>The amount of money in the account every year (D)</p> Signup and view all the answers

What is the formula to find the sum of the first n terms of an Arithmetic Progression?

<p>S = n[2a + (n - 1)d]/2 (D)</p> Signup and view all the answers

What is the value of 'an' in an Arithmetic Progression when there are n terms?

<p>l, the last term (A)</p> Signup and view all the answers

What is the common difference in the Arithmetic Progression of the money collected on Shakila's daughter's birthday?

<p>50 (C)</p> Signup and view all the answers

What is the total amount of money collected on Shakila's daughter's 21st birthday?

<p>12600 (B)</p> Signup and view all the answers

What is the formula for the sum of the first n terms of an AP when the first and last terms are given?

<p>S = n(a + l)/2 (A)</p> Signup and view all the answers

What is the advantage of using the formula to find the sum of the first n terms of an AP?

<p>It makes it easier to solve the problem (A)</p> Signup and view all the answers

What is the formula for the sum of the first n terms of an AP?

<p>4n - n^2 (C)</p> Signup and view all the answers

What is the sum of the first two terms of an AP if the sum of the first n terms is 4n - n^2?

<p>4 (B)</p> Signup and view all the answers

What is the 10th term of an AP if the sum of the first n terms is 4n - n^2?

<p>28 (C)</p> Signup and view all the answers

What is the sum of the first 40 positive integers divisible by 6?

<p>5040 (C)</p> Signup and view all the answers

If the penalty for each succeeding day is ` 50 more than for the preceding day, what is the total penalty for 30 days?

<p>46500 (D)</p> Signup and view all the answers

How many trees will be planted by the students in the school?

<p>258 (D)</p> Signup and view all the answers

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