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‘Secondary School Mathematics for Class 10, 2 Find:, (@ the 20th term of the AP 9, 13, 17,21, ...., (Gi) the 35th term of the AP 20, 17, 14, 11,, {iii) the 18th term of the AP V2, v18, 50, 98,, , Gv) the 9th term of the ar $$, % 2,, , (y) the 25th term of the AP 40,15, 10, 35, ., 3. (i) Find the 37th term of the aP6,73, 94, 11,, , , , , , , , , , 7, (Gi) Find the 25th term of the AP5, 45, 4,35,3,, , , , 4. Find the value of p for which seams one 4, 3p+1,11 are in ap., Hence, find the numbers., , (CBSE 2017), , , , 5. Find the nth term of each of the following APs:, @ 5, 11, 17, 23,, , , , (ii) 16,9,2,-5,, ‘6 Ifthe mth term of a progression is (471 ~ 10) show thatit is an AP. Find its, ~ (i) Grst term, (ii) common difference, and (iii) 16th term., 7. How many terms are there in the AP 6, 10, 14, 18,, , s, .., 174?, ‘8. How many terms are there in the AP 41, 38, 35, ..., 8?, , , , , , ‘9. How many terms are there in the AP 18, 155, 13,, 10. Which term of the AP 3,8, 13, 18, ... is 882, IL eee Bie, 12 Which teim of the AP? 1,14, 1, ..is3?, 13. Which term of the AP 21, 18, 15, ... is-81?, , 44 Which term of the AP 8, 14,20, 26,... will be 72 more than its 41st term?, , 47?, , , , , , [ease 2017), , 15. Which term of the AP 5, 15,25, ... will be 130 more than its 31st term?, {CBSE 2006c), , 16. If the 10th term of an AP is 52 and 17th term is 20 more than its 13th, term, find the AP. [eBSE 20090, 2017), , ¥, Find the middle term of the AP 6, 13, 20, ..., 216. (CBSE 2015), 18. Find the middle term of the AP 10, 7, 4, ..., (-62). [€8SE 20090], , , , [CBSE 20130], 20. Find the 8th term from the end of the AP 7, 10, 13, .., 184, (CBSE 2005], , , , Axithmetic Progression, , 235, 421. Find the 6th term from the end of the AP 17, 14,11,, , 90. Js 184 a term of the AP 3,7, 11,15,, 23, 15-150 term of the AP 11,, 94, Which term of the AP 121, BP 113,, , +n ($0). (088 2008), , , , 2, , is its first negative term?, 6, which term of the AP 20,191. 418/175... in ts first negative term?, , [cese 2019, JE The Teh term of an AP is ~4 and its 13th term is—16. Find the AP., , [ease 2014), Ge Ath tern 5, , of an AP is zero. Prove that its 25th term is triple its 11th, term., , CBSE 2005}, GP Eithe sith term of an AP is zero then show that its 33rd term is three, times its 15th term. esa, , 29. The 4th term of an AP is 11. The sum of the 5th and 7th terms of this AP, e Find its common difference., , [c8se 2015), {The 9th term of an AP is -32 and the sum of its 11th and 13th terms, , oe Find the common difference of the AP. [case ams,, © Determii, , E 2015}, termine the nth term of the AP whose 7th term is -1 and 16th term, is 17., , [CBSE 2014), If 4 times the 4th term of an AP is equal to 18 times its 18th term then, ind its 22nd term., , [CBSE 2012), If 10 times the 10th term of an AP is equal to 15 times the 15th term,, show that its 25th term is zero., , 34. Find the common difference of an AP whose first term is 5 and the sum, ofits first four terms is half the sum of the next four terms, , 2 (eRSE 201,, 35 the sum of the 2nd and the 7th terms of an AP is 30. If its 15th term is, Tess than twice its 8th term, find the AP., , [CBSE 2014, 36., , ‘or what value of n, the nth terms of the arithmetic progressions, 63, 65, 67, .. and 3, 10, 17, ... are equal?, , {esse 2008.17, tne 17th term of AP is 5 more than twice its 8th term. If the 11th term of, AAP ig 43, find its nth term., , IeBSE 2012], 24th term of an AP is twice its 10th term. Show that its 72nd tefm is, 4 times its 15th term. [CBSE 2013), 39. The 19th term of an AP is equal to 3 times its 6th term. If its 9th term is, 19, find the AP. [CBSE 2013), 40. If the pth term of an AP is q and its qth term is p then show that its, (p+q)th term is zero.