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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 20 natural. numbers? b) Find the sum of .first 20 terms of 4,8 , 12,.... c) If 3 is added to each term in the above sequence, write down the algebraic expression of the new sequence. d) Find the sum of first 20 terms of the new sequence.

V PUBLICATION-STATISTICS-QUESTION BANK
  1. Calculate the mean, variance and standard deviation for the following ...

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  2. Find the mean and variance for the following data 6,7,10,12,13,4,8,12

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  3. Write the sum of first n natural numbers.

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  4. Find the mean and variance of the first 10 multiples of 3.

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  5. Find the mean and standard deviation using short-cut method

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  6. Find the mean and variance for the following frequency distribution.

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  7. Find the mean, variance and standard deviation using short cut method.

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  8. Two plants A and B of a factory show following results about the numbe...

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  9. Coefficient of variation of two distributions are 60 and 70 and their ...

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  10. The following values are calculated in respect of heights and weights ...

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  11. The following is the rècord of goals scored by team '(A)' in a footbal...

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  12. The sum and squares corresponding to length x(in cm) and y(in gm) of 5...

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  13. The variance of 20 observations is '5 .' If each observation is multip...

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  14. The mean of 5 observations is 4.4 and their variance is 8.24.If three ...

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  15. If each of the observation x1,x2,………..xn is increased by 'a',where a...

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  16. The mean and standard deviation of 100 observations were calculated as...

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  17. The mean and variance of 7 observations are 8 and 16 respectively. If ...

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  18. The mean and standard deviation of six observations are 8 and 4, respe...

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  19. The mean and standard deviation of marks obtained by. 50 students of a...

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  20. Calculate the mean deviation about median from the following data 340...

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