Class 10 Exam  >  Class 10 Notes  >  Lab Manuals for Class 10  >  Viva Voce: Sum of Odd Natural Numbers

Viva Voce: Sum of Odd Natural Numbers | Lab Manuals for Class 10 PDF Download

Q.1. Give the formula for sum of first (« + 1) natural numbers.

Sn+1 =(n+2)(n+1)/2


Q.2. What is the sum of 2 + 6 + 10 + 14 + 18 + … + 10 terms?

200
[Hint: 2 [1 + 3 + 5 +… + 10 terms] =2 x 102= 200]


Q.3. What is the n th term of 2 + 4 + 6?

an = 2n


Q.4. Define odd numbers and which is the first odd natural number.

Numbers which are not divisible by 2 are known as odd numbers. 1 is the first odd natural number.


Q.5.What is the sum of first n natural numbers?

Sn = n(n+1) /2


Q.6. What is the sum of first n multiples of 5?

5 × n(n+1) /2


Q.7. What is the #th term of  1 + 3 + 5?

an =(2n— 1)


Q.8. Give the formula for the sum to n terms of an AP.

Sn= n / 2 [2a+(n−a)d]


Q.9. If  n th term of an AP is (2n + 1), find the sum of first n terms of the AP.

n(n+ 2)


Q.10. First term of an AP is p and its common difference is q then its 10th term is

p + 9q

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