Home
Class 10
MATHS
The sum of first 6 terms of an A.P. is 4...

The sum of first 6 terms of an A.P. is 42. If its 10th and 30th terms are in the ratio 1 : 3, find `a_8 and a_12`.

Text Solution

Verified by Experts

The correct Answer is:
`a_(12) = a+ 11d = 2+ 11 (2) = 2 + 22 = 24`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (HOTS [HIGHER ORDER THINKING SKILLS] - QUESTIONS)|4 Videos

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (SHORT-ANSWER [SA] TYPE 2 - QUESTIONS)|14 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

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.

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

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

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

If 29th term of an A.P is twice its 19th term, then the 9th term is

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.

The first term of a GP is 1. The sum of 3rd and 5th term is 90. Find the common ratio of the G.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.

The 10th term of AP is 41 and 18th term is 73. Find the 26th term.

If the sum of the first n terms of an A.P. is 4n-n^(2) what is the first term? What is the sum of the first two terms? What is the second term? Find the 3rd, 10th, and the nth terms.