Sum of Terms of 1st 'n' Natural Numbers

Q.

If the sum of first 10 natural numbers is $S_1$ and that of first 10 whole numbers is $S_2$ . Then $S_1-S_2$ is

1. 40

2. 20

3. 10

4. 30

Q.

The sum of `n' terms of a finite AP is $\frac{13}{2}$ times the sum of its first and last terms. Which term would be the middle term in this AP?

1. 7th term

2. 9th term

3. 3rd term

4. 5th term

Q.

If the sum of first 10 natural numbers is $S_1$ and that of first 10 whole numbers is $S_2$ . Then $S_1-S_2$ is

1. 20

2. 10

3. 30

4. 40

Q.

If the sum of the first ten natural numbers is $S_1$ and that of the first ten whole numbers is $S_2,$ then $S_1-S_2$ is 10.

1. True

2. False

Q. Question 11
Which term of the A.P. 3, 15, 27, 39, … will be 132 more than its ${54}^{th}$ term?

Q. Question 4
Which term of the A.P
$3,8,13,18,\dots$ is 78?

Q. For what value of $n$, are the $nth$ terms of two $APs:63,65,67,...$ and $3,10,17$, .... equal?

Q.

The sum of the first 1000 positive integers is ___.

1. 50051

2. 500500

3. 50050

4. 5005

Q.

The sum of `n' terms of a finite AP is $\frac{13}{2}$ times the sum of its first and last terms. Which term would be the middle term in this AP?

1. 9th term

2. 5th term

3. 3rd term

4. 7th term

Q. Find the difference between the sum of first 100 natural numbers and the sum of even numbers from 1 to 100.

Q. Check whether -150 is a term of the A.P. 11, 8, 5, 2, …

Q. $1+2+3+4+5+\cdots +27=$ ?

1. 378
2. 376
3. 372
4. 380

Q.

The sum of first 20 natural numbers is ___

1. 200

2. 205

3. 210

4. 215

Q.

Find the sum of first $n$ natural numbers.

1. $\frac{n(2n-1)}{2}$

2. $\frac{n(2n+1)}{2}$

3. $\frac{2n+1}{2}$

4. $\frac{n(n+1)}{2}$

Q.

What is the sum of the first 50 natural numbers?

1. 3250

2. 2550

3. 1275

4. 3000

Q.

Find the difference between the sum of first 100 natural numbers and the sum of even numbers from 1 to 100.

1. 2200

2. 2400

3. 2500

4. 2700

Q. The sum of first n odd natural numbers is n(n + 1).

1. False
2. True