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The 10th and 18th terms of an A.P. are 4...

The 10th and 18th terms of an A.P. are 41 and 73 respectively. Find 26th term.

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To solve the problem step by step, we need to find the 26th term of an arithmetic progression (A.P.) given that the 10th term (A10) is 41 and the 18th term (A18) is 73. ### Step 1: Write down the formulas for the terms of the A.P. The nth term of an A.P. can be expressed as: \[ A_n = A_1 + (n - 1)D \] where \( A_1 \) is the first term, \( D \) is the common difference, and \( n \) is the term number. ### Step 2: Set up equations for the given terms. ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. The 6th and 17th terms of an A.P. are 19 and 41 respectively, find t...

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  2. If 10 times the 10th term of an A.P. is equal to 15 times the 15th t...

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  3. The 10th and 18th terms of an A.P. are 41 and 73 respectively. Find...

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  4. In certain A.P. the 24th term is twice the 10th term. Prove that th...

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  5. If the nth term of the A.P. 9,7,5,... is same as the nth term of the A...

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  6. Find the 12th term from the end of the following arithmetic progres...

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  7. Find the 12th term from the end of the following arithmetic progres...

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  8. Find the 12th term from the end of the following arithmetic progres...

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  9. Find the second term and nth term of an A.P. whose 6th term is 12 a...

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  10. How many numbers of two digit are divisible by 3?

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  11. An A.P. consists of 60 terms. If the first and the last terms be 7 and...

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  12. The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th...

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  13. The first and the last terms of an A.P. are a\ a n d\ l respectively. ...

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

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

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  16. Find the four numbers in A.P., whose sum is 50 and in which the greate...

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  17. Find the four numbers in A.P., whose sum is 50 and in which the greate...

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  18. If the sum of three numbers in A.P. is 24 and their product is 440, ...

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  19. Find the sum of 20 terms of the A.P. 1,4,7,10…..

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  20. Find the sum of the series : 5+13+21++181.

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