Home
Class 10
MATHS
The sum of the first 8 terms of an A.P. ...

The sum of the first 8 terms of an A.P. is 100 and the sum of its first 19 terms is 551. Find the first term and the common difference of the AP.

Text Solution

Verified by Experts

The correct Answer is:
Hence the first term of the AP. is 2 and the common difference of the A.P. is 3.
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISE (Exercise 1.1)|4 Videos

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISE (Exercise 1.2)|20 Videos

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise TO FIND THE NTH TERM OF AN A.P. (ILLUSTRATIVE EXAMPLES)|11 Videos

  • AREA RELATED TO CIRCLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (HIGHER ORDER THINKING SKILLS)|7 Videos

  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOT [HIGHER ORDER THINKING SKILLS] - QUESTIONS) (IIT AND IMO)|9 Videos

Similar Questions

Explore conceptually related problems

7th term of an A.P. is 40. then the sum of the first 13 terms is

If the sum of first 10 terms of an A.P. is 4 times the sum of its first 5 terms, then find the ratio of first term and common difference.

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 first p terms of an A.P is equal to the sum of the first q terms , then find the first (p+q) terms .

The sum of first 7 terms of an AP is 63 and the sum of next 7 terms is 161. Find a_(28) .

The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.

The sum of first 14 terms of an AP is 1505 and its first term is 10. Find its tenth term.

The sum of first three terms of a G.P is 16 and the sum of the next three terms is 128 Determine the first term, the common ratio and the sum to n terms of the G.P.

If the sum of first 7 terms of an A.P is 49 and that of 17 terms is 289, find the sum of first n terms.

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.