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Write the sum of first n natural numbers...

Write the sum of first n natural numbers.

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If S_1, S_2, S_3 are the sum of first n natural numbers, their squares and their cubes, respectively, show that 9 S_2^(2)= S_3(1+8 S_1)

Read the following and answer the questions given below. 1,2,3,4….are natural numbers or counting numbers. The sum of first 4 numbers is 1+2+3+4=(1+4)+(2+3) = 5+5 = 5xx2 =(4+1)+4/2 We can make pairs as given above and can establish a formula to find the sum of first n natural numbers as sum = (1+n)xxn/2 Find the sum of first 10 natural numbers.

Read the following and answer the questions given below. 1,2,3,4….are natural numbers or counting numbers. The sum of first 4 numbers is 1+2+3+4=(1+4)+(2+3) = 5+5 = 5xx2 =(4+1)+4/2 We can make pairs as given above and can establish a formula to find the sum of first n natural numbers as sum = (1+n)xxn/2 Calculate the sum of natural numbers from 10 to 20.

Read the following and answer the questions given below. 1,2,3,4….are natural numbers or counting numbers. The sum of first 4 numbers is 1+2+3+4=(1+4)+(2+3) = 5+5 = 5xx2 =(4+1)+4/2 We can make pairs as given above and can establish a formula to find the sum of first n natural numbers as sum = (1+n)xxn/2 In the arrangement of numbers 1,3,6,10,15... 1=1 , 3=1+2 , 6=1+2+3.. What is 10^th number in the arrangement 1,3,6,10,15....

If S_1.S_2.S_3 are the sum of the first n natural numbers, their squares and their cubes respectively, show that 9S_2^2=S_3(1+8S_1)

Read the following and answer the questions given below. 1,2,3,4….are natural numbers or counting numbers. The sum of first 4 numbers is 1+2+3+4=(1+4)+(2+3) = 5+5 = 5xx2 =(4+1)+4/2 We can make pairs as given above and can establish a formula to find the sum of first n natural numbers as sum = (1+n)xxn/2 What is the number at the right and of 10^th line 1 2 3 4 5 6 7 8 9 10 .............

What is the sum of the first 'n' natural numbers?

What is the sum of first 20 natural numbers?

What is the sum of first 30 natural numbers?

What is the sum of first 40 natural numbers? [(1640 , 820 , 410 , 205)] ii) Whât is the sum of first 40 terms of the arithmetic sequences 6,12,18,.....? iii) The sum of first 40 terms of an arithmetic sequence with common difference 6 , is '5120 .' Write down the aigebraic form of this sequence.

MAXIMUM PUBLICATION-SEQUENCE AND SERIES-EXAMPLE
  1. Find the sum of the first n-terms of the series. 2+22+222+…..

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  2. Find the 5^th term of the sequence whose nth term is an=(n(n-2))/(n+3)

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  3. Write the sum of first n natural numbers.

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  4. The 5^th, 8^th and 11^th terms of a GP are p, q and s respectively. Pr...

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  5. A man starts repaying a loan as first instalment of Rs. 1,000. If he ...

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  6. Find the sum to n terms of the sequence 7,77,777,7777,…….

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  7. Consider the AP 4,10,16,22,…… Find its common difference and the 7^th ...

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  8. If the m^th terms of an AP is 1/n and the n^th term is 1/m, prove that...

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  9. The 6^th term of the sequence whose n^th term is tn=(2n-3)/6 is ………………...

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  10. Find the sum to infinity of the sequence 1,1/3,1/9,………

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  11. If a, b, c are in AP and a^(1/x)=b^(1/y)=c^(1/z) prove that x, y, z ar...

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  12. In an AP, the first term is 2 and the sum of the first five terms is ...

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  13. In an AP, the first term is 2 and the sum of the first five terms is ...

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  14. If AM and GM of two numbers are 10 and 8 respectively, find the number...

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  15. In an AP if m^th term is 'n' and n^th term is 'm', find the (m+n)^th t...

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  16. If 3^rd, 8^th and 13^th th terms of a GP are x,y,z respectively, prove...

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  17. Prove that 3^rd, 8^th and 13^th th terms of a GP are x,y,z satisfies t...

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  18. Which of the following is the nth term of an AP?

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  19. Find the 10^th term of the sequence -6,-11/2,-5,…………...

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  20. The sum of the first three terms of a GP is (39)/(10) and their produc...

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