Patterns in Number Sequences

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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?

500 Signup and view all the answers

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

a, a + d, a + 2d, a + 3d,... Signup and view all the answers

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

Both the first term and the common difference Signup and view all the answers

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

Each term is obtained by adding a fixed number to the preceding term. 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?

Common difference Signup and view all the answers

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

0 Signup and view all the answers

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

an = a1 + (n-1)d Signup and view all the answers

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

1 Signup and view all the answers

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

The sequence of prime numbers: 2, 3, 5,... Signup and view all the answers

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

–2 Signup and view all the answers

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

2, 4, –2, –4 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?

₹ 51 Signup and view all the answers

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

¼ of the remaining air 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?

₹ 600 Signup and view all the answers

Which of the following is not an arithmetic progression?

The amount of money in the account every year Signup and view all the answers

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

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

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

l, the last term 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?

50 Signup and view all the answers

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

12600 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?

S = n(a + l)/2 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?

It makes it easier to solve the problem Signup and view all the answers

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

4n - n^2 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?

4 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?

28 Signup and view all the answers

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

5040 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?

46500 Signup and view all the answers

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

258 Signup and view all the answers