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lf the nth term of an AP is (5n-2), find...

lf the nth term of an AP is (5n-2), find its (i) first term, (ii) common difference and (iii) 19th term.

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`T_(n) = (5n -2)` (given)
`rArr T_(1) = (5 xx 1 -2) = 3 "and"T_(2) = (5 xx 2-2) = 8.`
Thus, we have
(i) first term = 3.
(ii) common difference `= (T_(2) -T_(1)) = (8-3) = 5.`
(iii) 19th term = a +(19-1) d, where a = 3 and d = 5.
` = (3 + 18 xx 5 ) = 93.`
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RS AGGARWAL-ARITHMETIC PROGRESSION-Multiple Choice Questions (Mcq)
  1. lf the nth term of an AP is (5n-2), find its (i) first term, (ii) comm...

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  2. The common difference of the AP (1)/(p), (1-p)/(p), (1-2p)/(p),…. Is

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  3. The common difference of the AP (1)/(3), (1-3b)/(3), (1-6b)/(3),… is

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  4. The next term of the AP sqrt(7), sqrt(28), sqrt(63),… is

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  5. If 4, x(1), x(2), x(3), 28 are in AP then x(3) = ?

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  6. If the nth term of an AP is (2n +1) then the sum of its first three te...

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  7. The sum of first n terms of an AP is (3n^(2) + 6n). The common differe...

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  8. The sum of first n terms of an AP is (5n - n^(2)). The nth term of the...

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  9. The sum of the first n terms of an A.P. is 4n^2+2n . Find the n ...

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  10. The 7th term of an AP is -1 and its 16th term is 17. The nth term of t...

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  11. The 5th term of an AP is -3 and its common difference is -4. The sum o...

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  12. The 5th term of an AP is 20 and the sum of its 7th and 11th terms is 6...

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  13. The 13^(th) term of an AP is 4 times its 3^(rd) term. If its 5^(th) te...

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  14. An AP 5, 12, 19, … has 50 terms. Its last term is

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  15. The sum of first 20 odd natural numbers is

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  16. The sum of first 40 positive integers divisible by 6 is

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  17. How many two -digit numbers are divisible by 3?

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  18. How many three-digit numbers are divisible by 9?

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  19. What is the common difference of an AP in which a(18)-a(14) = 32?

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  20. If a(n) denotes the nth term of the AP 3, 18, 13, 18,… then what is th...

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  21. Which term of the AP 72, 63, 54, … is 0?

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