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CAT

Test 2 - Sequence, Series & Progression

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The number of attempts remaining is 2

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  1. What term of the AP 2, 5, 8, ...is 56?

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2. If the 3rd and 7th terms of an AP are 17 and 27 respectively. Find the first term of the AP :

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3. Find the nth term of an AP whose 6th and 8th terms are 12 and 22 respectively :

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4. Find the sum of the AP 11, 13, 15, ..., 99 :

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5. The ratio of the 7th to the 3rd terms of an AP is 12 : 5, find the ratio of the 13th to 4th term:

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6. How many terms of the AP 1, 4, 7,......... are needed to  give the sum 925?

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7. The 5th, 8th and 11th terms of a G.P. are a, b, c  respectively, then which one of the  following is true?

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8. The 5th and 12th terms of a G.P. are 32 and 4096 f respectively. Find the nth term of the G.P. :

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9. Find the 22nd term of the G.P. - 2, 2, -2, ...:

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10. The A.M. of two positive numbers is 15 and their G.M. is 12. What is the smaller number?

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11. The sum of 3 numbers in G.P. is 38 and their product is 1728. Find the greatest number :

 

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12. The sum of first three terms of a G.P. is to the sum of the first six terms is 125 : 152. Find the common ratio of the G.P. :

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13. The third term of a G.P. is 4. The product of first five terms is:

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14. The sum of first three terms of a G.P. is 21 and sum of their squares is 189. Find the common ratio :

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15. The sum of the first and the third terms of a G.P. is 15 and that of the 5th and the 7th terms is 240. Find the 9th term

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16. The sum of four terms in G.P. is 312. The sum of first and fourth terms is 252. Find the product of second and third terms:

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17. A bouncing tennis ball rebounds each time to a height equal to one half the height of the previous bounce. If it is dropped from a height of 16 m, find the total distance it has travelled when it hits the ground for the 10th time:

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18. Find the sum to n terms of the series

7 + 77 + 777 + 7777 + ...

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19. There are four numbers such that the first three of them form an Arithmetic Progression and the last three form a Geometric Progression. The sum of the first and the third is 2 and that of second and fourth is 26. What is the sum of first and fourth numbers?

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20. In a set of four numbers, the first three are in G.P. and the last three are in AP with common difference 6. If the first number is the same as the fourth, find the third number :

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21. A person is entitled to receive an annual payment which for each year is less by one tenth of what it was for the year before. If the first payment is 100, then find the maximum possible payment which he can receive, however long he may live :

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22. Find the sum of the series 1/4 - 3/16 + 9/64 - 27/256 + ....

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23. The sum of first two terms of a of a G.P. is 5 /3 and the sum to infinity of the series is 3. Find the first term:

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24. A ball is dropped from a height of 96 ft and it rebounds 2/3 of the height it falls. If it continues to fall and rebound, find the total distance that the ball can travel before coming to rest.

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25. Divide 20 into four parts which are in AP and such that the product of the first and fourth is to the product of the second and third in the ratio 2 : 3. Find the product of the first and fourth term of the AP :

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