Swati Lathia

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Exercise – 1 | Arithmetic Progression

  1. Find the required term of the following sequence : (1) √5 , 3√5, 5√5, 7√5…10th term (2) -15/8, -7/8, 1/8, 9/8… 15th term
  2. Which term of the series 13+21+29 … is equal to 189?
  3. Which term of the sequence 17, 23, 29, 35 is equal to 294?
  4. The third term of an A.P. is 25 and the tenth term is -3. Find fortieth term.
  5. The first term of an A.P. is -2 and the tenth term is 16. Find fiftieth term.
  6. Determine 21st term of an A.P. whose ninth term is -6 and the common difference is 5/4.
  7. If seven times the seventh term of an A.P. is equal to eleven times its eleventh term. Prove that the eighteenth term of the A.P. is zero.
  8. Determine the second term and kth term of an A.P. whose 6th term is 12 and 8th term is 22.
  9. The fourth term of an A.P. is equal to 3 times the first term and seventh term exceeds twice the third term by 1. Find the first term and the common difference.
  10. If 9th term of an A.P. is zero then prove that its 29th term is twice its 19th term.
  11. The sum of three terms in an A.P. is 24 and their product is 440. Find the numbers.
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