cbse maths 10th Arithmetic progration

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Q. 1. Which term of the AP 21, 18, 15, ………… is – 81 ? Also any term 0?

Q. 2. Is 68 a term of the AP 7, 10, 13, ………?

Q. 3. The 10th term of an AP is 52 and 16th term is 82. Find the 32nd term.

Q. 4. Find the sum of a + b, a – b, a – 3b,…….. to 22 terms.

Q. 5. Find the sum of first 15 terms of an AP, whose nth term is 9 – 5n.

Q. 6. If 6 times the 6th term is equal to 9 times the 9th term of an AP find its 15th term.

Q. 7. Which term of AP 5, 13, 21, ………. Will be 72 less than its 17th term?

Q. 8. If 1/x + 2 , 1/ x +3 , 1/ x + 5 are in AP then find x.

Q. 9. Which term of the AP 32, 29, 26, ………. Is its first negative term?

Q. 10. If the sum of first 20 terms of an AP is one third of the sum of next 20 terms. If first term is 1 , then find the sum of first 30 terms.

Q. 11. Find the sum of all the three digits numbers each of which leaves the remainder 3 when divided by 5.

Q. 12. If mth and nth terms of an AP are 1/n and 1/m respectively, then find the sum of (mn)th terms.

Q. 13. The sum of first six terms of an AP is 42. The ratio of the 10th term to the 30th term is 1:3. Find first term and 11th term of the AP.

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