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Find the sum of the first 100 natural nu...

Find the sum of the first 100 natural numbers.

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The famous mathematician associated with finding the sum of the first 100 natural numbers is

Find the sum of first 100 even natural numbers which are divisible by 5.

Statement 1 The difference between the sum of the first 100 even natural numbers and the sum of the first 100 odd natural numbers is 100. Statement 2 The difference between the sum opf the first n even natural numbers and sum of the first n odd natural numbers is n.

Find the sum of first 10 even natural numbers.

Find the sum of first 15 odd natural numbers.

For some natural number 'n', the sum of the first 'n' natural numbers is 240 less than the sum of the first (n+5) natural numbers. Then n itself is the sum of how many natural numbers starting with 1.

Let S_n denote the sum of the cubes of the first n natural numbers and s_n denote the sum of the first n natural numbers. Then sum_(r=1)^n S_r/s_r is equal to

(i) Find the sum of first 200 even natural numbers. (ii) Find the sum of all numbers lying between 201 and 424 which are divisible by 5. (iii) Find the sum of all numbers from 1 to 200 which are divisible by either 2 or 3.

let S_(n) denote the sum of the cubes of the first n natural numbers and s_(n) denote the sum of the first n natural numbers , then sum_(r=1)^(n)(S_(r))/(s_(r)) equals to

X BOARD PREVIOUS YEAR PAPER ENGLISH-CBSE BOARDS 2020-QUESTION
  1. The radius of a sphere (in cm) whose volume is 12pi cm^3, is (A) 3 ...

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  2. Can (x^2 - 1) be a remainder while dividing x^4 - 3x^2 + 5x -9 by x^2 ...

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  3. Find the sum of the first 100 natural numbers.

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  4. Evaluate : 2 sec 30^(@) xx tan 60^(@)

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  5. The angle elevation of the top of a tower from a point C on the ground...

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  6. In Figure, a quadrilateral ABCD is drawn to circumscribe a circle . ...

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  7. Find the perimeter of DeltaABC, if AP=12 cm

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  8. How many cubes of side 2 cm can be made from a solid cube of side 10 c...

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  9. In the given figure, DE||AC and DF||AE. Prove that (BF)/(FE)=(BE)/(E...

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  10. Show that 5+2sqrt(7) is an irrational number, where sqrt(7) is given t...

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  11. Check whether 12^n can end with the digit 0 for any natural number n.

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  12. If A, B and C are interior angles of a DeltaABC, then show that cot(...

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  13. In Figure , a square OPQR is inscribed in a quadrant OAQB of a circle....

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  14. Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and angleABC=60^@. ...

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  15. Draw a circle of radius 3.5 cm . Take a point P outside the circle at ...

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  16. Prove that : (2 cos^(3) theta-cos theta)/(sin theta-2 sin^(3)theta)=c...

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  17. A fraction become 1/3 when 1 is subtracted from the numerator and it b...

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  18. The present age of a father is three years more than three times the...

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  19. Using Euclid's Algorithm, find the largest number which divides 870 an...

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  20. find the ratio in which the y-axis divides the line segment joining th...

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