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The third term of an A.P. is (1)/(5) and...

The third term of an A.P. is `(1)/(5)` and the 5th term is `(1)/(3)`. Show that the sum of 15 terms of the A.P. is 8.

A

`1//15`

B

`3//5`

C

8

D

15

Text Solution

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The correct Answer is:
C
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ARIHANT SSC-SEQUENCE, SERIES & PROGRESSIONS-INTRODUCTORY EXERCISE 18.1
  1. If the second and seventh terms of an A.P. are 2 and 22 respectively. ...

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  2. The 12th term of an AP is -13 and the sum of its first four terms is 2...

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  3. The third term of an A.P. is (1)/(5) and the 5th term is (1)/(3). Show...

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

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  5. How many terms of the series 20 + 16 + 12 amounts to 48?

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  6. p,q,r,s,t are first five terms of an A.P. such that P + r + t = -12 an...

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  7. The sum of all the terms of the A.P.7,10,13,... l is 1242. where l is...

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  8. Find the sum of all the integers between 55 and 533 which are divisibl...

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  9. How many terms are there in the A.P. whose first and fifth terms are ...

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  10. The first and last terms of an A.P. are - 7 and 233 and the sum of the...

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  11. The sum of three numbers in A.P. is 12 and the sum of their cubes is 4...

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  12. The series of natural numbers is written as follows: {:(,,1,,),(,2,3...

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  13. If you save Rs. 1 today, Rs. 2 the next day, Rs. 3 the succeeding day ...

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  14. The ratio of the 7th to the 3rd terms of an A.P. is 12:5, find the rat...

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  15. Find the sum of the first hundred even natural numbers divisible by 5:

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  16. If m times the mth term of an A.P. is equal to n times its nth term, f...

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  17. The sum of the first fifteen terms of an A.P. is 105 and the sum of th...

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

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  19. The sum of the first six terms of an A.P. is 42. The ratio of the 10th...

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  20. The sum of n terms of two arithmetic series are in the ratio of (7n + ...

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