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The series of natural numbers is written...

The series of natural numbers is written as follows:
`{:(,,1,,),(,2,3,4,),(5,6,7,8,9),(...,,...,,...),(...,,...,,...):}`
Find the sum of the numbers in the nth row:

A

`n^3 +1`

B

`(2n)^2 -1`

C

`n^3 +(n-1)^3`

D

none of these

Text Solution

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The correct Answer is:
C
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ARIHANT SSC-SEQUENCE, SERIES & PROGRESSIONS-INTRODUCTORY EXERCISE 18.1
  1. The first and last terms of an A.P. are - 7 and 233 and the sum of the...

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  2. The sum of three numbers in A.P. is 12 and the sum of their cubes is 4...

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  3. The series of natural numbers is written as follows: {:(,,1,,),(,2,3...

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  4. If you save Rs. 1 today, Rs. 2 the next day, Rs. 3 the succeeding day ...

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  5. The ratio of the 7th to the 3rd terms of an A.P. is 12:5, find the rat...

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  6. Find the sum of the first hundred even natural numbers divisible by 5:

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  7. If m times the mth term of an A.P. is equal to n times its nth term, f...

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  8. The sum of the first fifteen terms of an A.P. is 105 and the sum of th...

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  9. If the first term of an A.P. is 2 and the sum of first five terms is ...

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  10. The sum of the first six terms of an A.P. is 42. The ratio of the 10th...

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  11. The sum of n terms of two arithmetic series are in the ratio of (7n + ...

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  12. The sum of three numbers in A.P. is 15 and sum of their squares is 93....

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  13. If the nth term of an A.P. is 4n-1 , find the 30th term and the sum of...

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  14. The sum of n terms of a series is 3n^2 + 5n. Find the value of n if nt...

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  15. Find the number of terms of the A.P. 98,91,84,…must be taken to give a...

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  16. What is the greatest possible sum of the A.P. 17,14,11,…

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  17. What is the least possible sum of the A.P. -23,-19 , -15 , … :

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  18. Find the sum of all odd numbers of four digits which are divisible by ...

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  19. If a,b,c be the pth , qth and rth terms of an A.P., then p(b-c) + q(c-...

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  20. If a,b,c be respectively the sum of first p,q,r terms of an A.P. then ...

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