Q1.) Find the sum of n terms:

1/ (4.7.10) + 1/(7.10.13) + 1/(10.13.16) +.............................

Q2.) Find the sum of n terms:

3/(1.2.4) + 4/(2.3.5) + 5/(3.4.6) + ................

Q3) Find the sum of n terms

1/( 1+ 1^2 + 1^4) + 2/(1 +2^2 + 2^4) + 3/(1 +3 ^2 + 3^4 ) + ..........

Q4) Find the sum of n terms:

6+13+22+33+.......................

Q5) Find the sum of n terms:

2+5+14+41+122.................

Q6) Find the sum of n terms: 3^2 + 7^2 + 11^2 +.................

Note by Manish Dash
3 years, 4 months ago

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I Can Help You In Them After NTSE As I Dont Have Much time to spend on brilliant. but still for 3rd problem you can factorize the denominator as follows and then apply telescoping sum a^4+a^2+1 = (a^2+a+1)(a^2-a+1) for 6th one you can write general term of the progression and apply sigma notation for rest please wait till 10th may i will surely help you after that

- 3 years, 4 months ago

All the best to you for NTSE @Prakhar Bindal . By the way, I am also going to appear NTSE on 10th MAY

- 3 years, 4 months ago

Thanks i will surely help you on sunday with all the solutions and all the best to you too!!

- 3 years, 4 months ago