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Find the sum of all integers from 1to 10...

Find the sum of all integers from 1to 1001.

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To find the sum of all integers from 1 to 1001, we can use the formula for the sum of the first n natural numbers. The formula is given by: \[ S_n = \frac{n(n + 1)}{2} \] where \( S_n \) is the sum of the first n natural numbers and n is the last number in the series. ...
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AAKASH INSTITUTE-SEQUENCES AND SERIES -Try Yourself
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  2. If a^2(b+c), b^2(c+a),c^2(a+b) are in A.P., then prove that a,b,c are ...

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  3. Find the sum of all integers from 1to 1001.

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  4. Solve: 1+4+7+10++x=590.

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  5. How many term of the A.P. 15 , 12, 9 ., - are needed to give the sum ...

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  6. Let S1, S2 and S3 be the sum of n terms of 3 arithmetic series, the fi...

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  7. If the sum of n tems of a series be 5n^2+3n, find its nth term. Are th...

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  8. The ratio of the sum of n terms of two A.P.\'s is (3n+1):(4n+3). Find ...

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  9. A person is to cout 4500 currency notes. Let a(n) denotes the number o...

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  10. A man saves Rs. 200 in each of the first three months of his service. ...

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  11. Find the arithmetic between : (i) 56 and 64 (ii) x^(2) - y^(2)...

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  12. If the A.M. between p^(th) and q^(th) terms of an A.P. , be equal to...

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  13. If (x^p+y^p)/(x^(p-1)+y^(p-1)) be the A.M. between x and y then find t...

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  14. Prove that the sum of n arithmetic means between two numbers in n time...

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  15. Insert 5 numbers between 7 and 25 such that the resulting sequence is ...

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  16. If A1,A2,A3, A2 and A5 are the five A.M.\'s between 2 nd 8, then find ...

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  17. Find the sequence whose n^(th) term is 5^(n-1) it a G.P. ? Find it...

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  18. Find the sequence whose n^(th) term is 5^(n) - 1 is it a G.P. ? Wh...

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  19. Find the n^(th) term of the G.P. (3)/(2), (3)/(4), (3)/(8),…. also fi...

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  20. Which term of the G.P. 0.004, 0.02, 0.1,… is 12.5 ?

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