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Write the n^(th) term of the AP: a] ...

Write the `n^(th)` term of the AP:
a] `13,8,3,-2,…..`
b] `sqrt(2), 3 sqrt2, 5 sqrt2, …..`
c] `121, 117 , 113, …..`
d] `(3)/(4), (5)/(4) , (7)/(4), ….`
e] `-15, -10, -5, 0, ….....`

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The correct Answer is:
a] `= 13+ 5-5n = 18 -5n`
b] `= sqrt(2) + 2 sqrt2 n -2 sqrt2 = 2 sqrt2 n -sqrt2`
c] `= 121 + (n-1)( -4) = 121 -4n+ 4 = 125 - 4n`
d] `= (3)/(4) + (n-1) ((1)/(2)) = (3)/(4) + (n)/(2) -(1)/(2) = (n)/(2) - (1)/(4)`.
e] `= -15 + (n-1) (5) = -15 + 5n -5 = 5n -20.`
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ZEN PUBLICATION-ARITHMETIC PROGRESSIONS-ZEN ADDITIONAL QUESTIONS (SHORT-ANSWER [SA] TYPE 1 - QUESTIONS)
  1. Write the n^(th) term of the AP: a] 13,8,3,-2,….. b] sqrt(2), 3 ...

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  2. Which term of the AP a] 2, 5, 8, ….. is 68? b] -3, -5, -7, ….. is ...

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  3. Check whether a] -1 is a term of 33, 31, 29, …..... b] 54 is a ter...

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

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  5. The 7th term of an AP is 32 and 13th term is 62. Find the progression.

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

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

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

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

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

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

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

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

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

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  15. Find the sum of first n even numbers.

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

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

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

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

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

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