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Find the sum of the first 15 multiples of 8 .

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Find the sum of a] first 10 multiples of 8 b] first 25 multiples of 3 c] first 100 multiples of 2.

If the first four terms of an arithmetic sequence are a,2a,b and (a-6-b) for some numbers a and b, find the sum of the first 100 terms of the sequence.

Find the mean of first five odd multiples of 5.

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

If the sum of the first 2n terms of the A.P. 2,5,8, "……….." is equal to the sum of the first n terms of the A.P. 57,59,61, "…………" then n equals :

The ratio of 11th term to 18th term of an AP is 2:3. Find the ratio of 5th term to the 21st term, also the ratio of the sum of the first 5 terms to the sum of the first 21 terms.

The sum of three consecutuve multiples of 8 is 888.Find the multiples.

The sum of the third and the seventh terms of an A.P. is 6 and the product is 8. Find the sum of first sixteen terms of the A.P.

Find the sum of first: a] 13 term of AP 2, 6, 10, 14, ..... b] 20 terms of AP -6, 0, 6, 12, ...... c] 15 term of AP 18, 16, 14, .........

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CPC CAMBRIDGE PUBLICATION-ARITHMETIC PROGRESSIONS-EXERCISE 1.3
  1. Find the sum of the following Aps: (i) 2, 7, 12, …….., to 10 terms. ...

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  2. Find the sums given below : (i) 7+10(1)/(2)+14+……..+84 (ii) 34+32...

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  3. In an AP: (i) given a=5, d=3, a(n)=50, find n and S(n). (ii) give...

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  4. How many terms of the A.P : 9, 17 25,… must be taken to give sum of 63...

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

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  6. The first and the last terms of an A.P are 17 and 350 respectively. If...

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  7. Find the sum of first 22 terms of an A.P in which d = 7 and 22nd term ...

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  8. Find the sum of first terms of an A.P whose second and third terms are...

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  9. If the sum of first 7 terms of an A.P is 49 and that of 17 terms is 28...

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  10. Show that a(1), a(2), ….,a(n),… form an A.P where an is defined as bel...

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  11. If the sum of the first n^(th) terms of an A.P is 4n-n^(2) , what is t...

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  12. Find the sum of the first 40 positive integers divisible by 6.

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  13. Find the sum of the first 15 multiples of 8 .

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  14. Find the sum of the odd numbers between 0 and 50.

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  15. A contract on construction job specifies a penalty for delay of comple...

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  16. A sum of Rs. 700 to be used to give seven cash prizes to students of a...

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  17. In a scholl students thought of planting trees in and around the schoo...

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  18. A spiral is made up of successive semicircles, with centres alternatel...

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  19. 200 logs are stacked in the following manner : 20 logs in the bottom r...

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  20. In a potato race, a bucket is placed at the starting point, which is 5...

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