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Determine k such that (3k - 2), (4k - 6)...

Determine k such that `(3k - 2), (4k - 6) and (k + 2)` are three consecutive terms of AP.

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The correct Answer is:
`rArr k = (12)/(4) = 3`.
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ZEN PUBLICATION-ARITHMETIC PROGRESSIONS-ZEN ADDITIONAL QUESTIONS (SHORT-ANSWER [SA] TYPE 1 - QUESTIONS)
  1. The 7th term of an AP is 32 and 13th term is 62. Find the progression.

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  2. In an AP, the 6th term is 12 and 8th term is 22. Find the nth term.

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  3. Which term of the AP 5, 15, 25 is 150 more than its 12th term?

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  4. In an AP, the 18th term is 20 more than the 13th term. If the fourth t...

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  5. Find the common difference of the AP in which 18th term is 10 less tha...

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  6. The 24th term of an AP is twice its 10th term. Show that 72nd term is ...

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  7. Find the sum of first: a] 13 term of AP 2, 6, 10, 14, ..... b] 20 ...

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  8. Find the sum of a] first 10 multiples of 8 b] first 25 multiples o...

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  9. Find the sum of i] 41, 36, 31, ....... upto 10 terms ii] -26, -24,...

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  10. Find the sum of first n odd natural numbers.

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  11. Find the sum of first n even numbers.

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  12. For what values of n, the nth terms of the following sequences are equ...

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  13. Determine k such that (3k - 2), (4k - 6) and (k + 2) are three consecu...

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  14. How many two digits numerals are divisible by 6?

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  15. The first and last terms of an AP are 7 and 49. How many terms make th...

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  16. Which term of an AP 3, 8, 13, 18, ..... will be 55 more than 20th term...

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  17. Find the common difference of an AP whose first term is 4, last term i...

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  18. Three numbers which are in AP together make a 39 and their product is ...

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  19. The four sides of a quadrilateral form an AP, taken in order. The diff...

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  20. Find the Sum of 5+8+11+....to 10 terms using formula.

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