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The inventor of the chess board suggeste...

The inventor of the chess board suggested a reward of one grain of wheat for the first square, 2 grains for the second, 4 grains for the third and so on, doubling the amount of the grains for subsequent squares. How many grains would have to be given to the inventor? (There are 64 squares in the chess board).

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The inventor of the chess board suggested a reward of one grain of wheat for the first square, 2 grains for the second, 4 grains for the third and so on, doubling the number of the grains for subsequent squares. How many grains would have to be given to inventor? (There are 64 square in the chess board).

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A chess board contains 64 equal squares and the area of each square is 6. 25\ c m^2 . A border round the board is 2 cm wide. Find the length of the side of the chess board.

A chess board contains 64 equal squares and the area of each square is 6. 25\ c m^2 . A border round the board is 2 cm wide. Find the length of the side of the chess board.

Keith modeled the growth over several hundred years of a tree population by estimating the number of the trees’ pollen grains per square centimeter that were deposited each year within layers of a lake’s sediment. He estimated there were 310 pollen grains per square centimeter the first year the grains were deposited, with a 1% annual increase in the number of grains per square centimeter thereafter. Which of the following functions models P(t), the number of pollen grains per square centimeter t years after the first year the grains were deposited?

A corn cob (see in figure), shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length as 20cm. If each 1\ c m^2 of the surface of the cob carries an average of four grains, find how many grains you would find on the entire cob?

A corn cob (see in figure), shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length as 20cm. If each 1\ c m^2 of the surface of the cob carries an average of four grains, find how many grains you would find on the entire cob?

How much time (in hours) would it take to distribute one Avogadro number of wheat grains if 10^(20) grains are distributed each second?

If two of the 64 squares are chosen at random on a chess board, the probability that they have a side in common is

When a red grain variety of wheat is crossed with another white grain vartiety F_(1) hybrid is produced. On selfing of this F_(1)- hybrid, how many offsprings of F_(2)- generation resemble phenotypically to it's parents (let grain colour of wheat controlled by three gene pairs )

ICSE-SEQUENCE AND SERIES -CHAPTER TEST
  1. The inventor of the chess board suggested a reward of one grain of whe...

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  2. Write down the first five terms of the sequence, whose nth term is (-1...

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  3. If the 3rd and the 6th terms of an A.P. are 7 and 13 respectively, fin...

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  4. Find the sum of all natural numbers between 100 and 1000 which are mul...

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  5. How many terms of the A.P., -6,(-11)/(2),-5 ... are needed to give the...

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  6. Determine the sum of the first 35 terms of an A.P. if a(2), = 2 and a(...

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

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  8. Insert 3 arithmetic means between 2 and 10.

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  9. Find 12th term of a G.P. whose 8th term is 192 and the common ratio is...

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  10. The first term of a G.P. is 1. The sum of the third and fifth terms is...

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  11. The sum of first three terms of a G.P. is (39)/(10) and their product ...

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  12. The sum of some terms of a G.P. is 315 whose first term and the common...

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  13. Find the sum of the series 0.6 +0.66 +0.666+ ... to the n terms

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  14. The sum of an infinite series is 15 and the sum of the squares of thes...

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  15. Insert three geometric means between 1 and 256.

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  16. In the sum to infinity of the series 3+(3+x) (1)/(4) + (3+2x)(1)/(4^(2...

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  17. Find the sum to n terms of the series 3.8 +6.11 +9.14 + ...

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  18. Find the sum 5^(2)+ 6^(2) + 7^(2) + ... + 20^(2).

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  19. If in a geometric progression consisting of positive terms, each term ...

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  20. If the first term of an infinite G.P. is 1 and each term is twice the ...

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  21. If fifth term of a G.P. is 2, then the product of its first 9 terms is

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