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The sum of consecutive even numbers is a...

The sum of consecutive even numbers is always an even number.

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Prove that the product of two even numbers is an even number.

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NCERT TAMIL-NUMBERS AND SEQUENCES -Progress Check
  1. A G.P. is obtained by multiplying ……… to the preceding term.

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  2. The ratio between any two consecutive terms of the G.P. is …… and it i...

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  3. Fill in the blanks, if the term are in G.P. (1)/(8), (3)/(4), (9)/(2),...

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  4. Fill in the blanks if the following are in G.P. 7, 7/2,……

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  5. If first term = a, common ratio = r, then find the value of t(9)" and ...

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  6. If G.P if t(1)=(1)/(5) and t(2)=(1)/(25) then the common ratio is .

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  7. Three Non-zero numbers a, b and c will be in G.P. If and only if .

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  8. A series whose terms are in Geometric progression is called …….

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  9. When r = 1, the formula for finding sum to n terms of a G.P. is …….

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  10. When r ne 1, the formula for finding sum to n terms of a G.P. is ……..

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  11. Sum to infinite number of terms of a G.P. is ….

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  12. For what values of r, does the formula for infinite G.P. valid ?

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  13. Is the series 3 + 33 + 333 + ….a Geometric series ?

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  14. The value of r, such that 1 + r + r^(2) + r^(3) … = 3/4 is …

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  15. The sum of cubes of first n natural numbers is ……..of the first n natu...

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  16. The average of first 100 natural number is .

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  17. The sum of first n odd natural numbers is always an odd number.

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  18. The sum of consecutive even numbers is always an even number.

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  19. The difference between the sum of squares of first n natural numbers a...

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  20. The sum of cubes of the first n natural numbers is always a square num...

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