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Write the first four terms of the A.P. w...

Write the first four terms of the A.P. when its first term is – 5 and the common difference is – 3.

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Write first four terms of the AP, when the first term a and the common difference d are given as follows: (i) a=10, d=10 (ii) a=-2, d=0 (iii) a=4, d =-3 (iv) a=-1, d=1/2 (v) a=-1.25, d= -0.25

If the first term of an A.P. is – 18 and its 10th term is zero, then find its common difference.

The sum of P terms of an AP is P^2 . Find the common difference.

The sum of n terms of an A.P is n^2 .Find the common difference.

Write the GP if the first term a=3, and the common ratio r=2.

If an A.P., the sum of 1st n terms is 2n^2 + 3n , then the common difference will

If S_n=n P+(n(n-1))/2Q ,w h e r eS_n denotes the sum of the first n terms of an A.P., then find the common difference.

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P. is 9. The first term of the A.P. is equal to the common ratio of the G.P. and the first term of the G.P. is equal to the common difference of the A.P. Find the two progressions.

If the sum of the first 14 terms of an AP is 1050 and its first term is 10 , find the 20th term .

The first term of an A.P. is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Find .^5P2

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  2. Evaluate the following .^5P3

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  3. Find the number of ways in which 5A^(prime)s and 6B ' s can be arrange...

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  4. How many four-digit numbers can be formed by using the digits 1, 2, 3,...

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  5. There are six periods in each working day of the school. In how many ...

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  6. Find the number of permutation of all the letters of the word MATHE...

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  7. Find 5P3

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  8. In how many ways can 30 marks be allotted to 8 question if each que...

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  9. Find the number of arrangements of the letters of the word SALOON, if ...

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  10. If the best and the worst paper never appear together, find in how man...

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  11. Find the probability that the birth days of six different persons will...

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  12. A committee of 6 is chosen from 10 men and 7 women so as to contain at...

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  13. If .^(n+2)C8:^(n-2)P4:: 57 : 16 , find n

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  14. Find the number of positive integers, which can be formed by using any...

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  15. Write the first four terms of the A.P. when its first term is – 5 and ...

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  16. In how many ways can 5 girls and 5 boys be arranged in a row if all bo...

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  17. Solve: an= (3n^2)/2 + (5n)/2 Find the 25th term.

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  18. If there are 12 persons in a party, and if each two of them shake hand...

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  19. Find the ratio of .^20Cr and .^(25)Cr when each of them has the greate...

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  20. If a ,b ,c in {1,2,3,4,5,6,} find the number of ways a, b, c can be ...

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