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Show that the progression 11, 6, 1, -4, ...

Show that the progression 11, 6, 1, -4, -9, …. is an AP. Find its first term and the common difference.

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Show that the progression 6, 18, 54, 162, ... is a GP. Write down its first term and the common ratio.

Show that the progression 7,12,17,22,27, …., is an AP. Find its general term and the 14th term.

Show that each of the progressions given is an AP. Find the first term , common difference and next term of given series (ii) 11 ,6, 1 ,-4 . . .

Show that each of the progressions given is an AP. Find the first term , common difference and next term of given series (i) 9 ,15 , 21 , 27 . . .

Show that each of the progressions given is an AP. Find the first term , common difference and next term of given series (iii) -1 ,-5/6 , -2/3 ,-1/2 . . .

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MTG IIT JEE FOUNDATION-ARITHMETIC PROGRESSIONS -SOLVED EXAMPLES
  1. Show that the progression 11, 6, 1, -4, -9, …. is an AP. Find its firs...

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  2. What is 18th term of the sequence defined by an=(n(n-3))/(n+4)

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  3. If seven times the seventh term of an A.P is equal to eleven times it...

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  4. If ( a^(n+1) + b^(n+1)) / (a^n +b^n) is the AM between a and b. Then ...

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  5. In a flower bed, there are 23 rose plants in the first row, 21 in the ...

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  6. Find the sum of first 24 terms of the list of numbers whose nth term ...

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  7. The p^(t h),q^(t h)and r^(t h)terms of an A.P. are a, b, c, respectiv...

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  8. In an A.P., the sum of first n terms is (3n^2)/2+(5n)/2dot Find its 25...

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  9. If a,b,c are in AP show that (i) 1/(bc) ,1/(ca),1/(ab) are in AP....

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  10. If a, b, c are in A.P., prove that a^(2)(b+c),b^(2)(c+a),c^(2)(a+b)" a...

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  11. Find a(1),a(2),a(3) if the n^(th) term is given by a(n)=(n-1)(n-2)(3+n...

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  12. Find a(3),a(5),a(8) if the n^(th) term is given by a(n)=(-1)^(n)n

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  13. If the n^(th) term of the A.P. 9, 7, 5, .... is same as the n^(th) ter...

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  14. The 7t h term of an A.P. is 32 and its 13 t h term is 62. Find t...

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  15. Find the term of the arithmetic progression 9,12,15,18, ... which is 3...

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  16. The sum of three numbers in A.P. is 12 and the sum of their cubes is ...

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  17. Find the value of x for which (8x+4),\ (6x-2) and (2x+7) are in A.P...

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  18. Find the sum of all integers between 0 and 500 which are divisible by ...

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

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  20. The first term of an A.P is 7 , the last term is 47 and the sum is 432...

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