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Find the sum of first 30 terms of an A.P...

Find the sum of first 30 terms of an A.P. whose second term is 2 and seventh term is 22.

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To find the sum of the first 30 terms of an arithmetic progression (A.P.) where the second term is 2 and the seventh term is 22, we can follow these steps: ### Step 1: Use the formula for the nth term of an A.P. The formula for the nth term (Tn) of an A.P. is given by: \[ T_n = A + (n - 1)D \] where: - \( A \) is the first term, - \( D \) is the common difference, ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Along a road lie an odd number of stones placed at intervals of 10 met...

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  2. Divide 32 into four parts which are in A.P. such that the product of ...

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  3. Find the sum of first 30 terms of an A.P. whose second term is 2 and ...

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  4. Ramkali would need Rs. 1800 for admission fee and books etc., for her ...

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  5. The first and the last terms of an A.P. are 5 and 45 respectively. If ...

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  6. Two cars start together in the same direction from the same place. The...

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  7. The sum of the third and the seventh terms of an AP is 6 and their ...

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  8. If (m+1)^(t h) term of an A.P. is twice the (n+1)^(t h) term, prove th...

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  9. In a school students thought of planting trees in and around the sc...

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  10. The sum of the first p , q , r terms of an A.P. are a , b , c respecti...

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  11. The ratio of the sum of n terms of two A.Ps is (7n+1):(4n+27)dot Find ...

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  12. If there are (2n+1) terms in A.P., then prove that the ratio of the s...

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  13. Raghav buys a shop of Rs. 1,20,000. He pays half of the amount in cash...

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  14. Which term of the A.P. 3,15,27, 39, ... will be 120 more than its 21st...

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  15. The 17th term of an A.P. is 5 more than twice its 8th term. If the ...

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  16. The sum of three numbers in A.P. is -3, and their product is 8. Find t...

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  17. Find the four numbers in A.P. whose sum is 20 and the sum of whose ...

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  18. The sum of three terms of an A.P. is 21 and the product of the first ...

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  19. The angles of a quadrilateral are in A.P. whose common difference is 1...

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  20. Consider the A.P. 2,5,8, 11 ,........ ,302. Show that twice of the mi...

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