This page 10th CBSE math solution for exercise 5.2 is going to provide you solution for every problems that you find in the exercise no 5.1
(1) Fill in the blanks in the following table, given that a is the first term,d the common difference and a n the nth term of the AP.
a |
d |
n |
a n |
7 -18 .... -18.9 3.5 |
3 .... -3 2.5 0 |
8 10 18 ...... 105 |
.... 0 -5 3.6 ........ |
(2) Choose the correct choice in the following and justify
(i) 30th term of the AP: 10,7,4,....... is
(A) 97 (B) 77 (C) -77 (D) -87
(ii) 11th term of the AP -3,-1/2,2,.......... is
(A) 28 (B) 22 (C) -38 (D) -48 ½ Solution
(3) In the following APs, find the missing term in the boxes
(i) 2, ____ , 26 Solution
(ii) ____, 13 , ___ , 3 Solution
(iii) 5, ____ , _____ , 9 ½ Solution
(iv) -4,____,____,___,_____,6 Solution
(v) ______,38 , ______ , ______ , ____ , -22 Solution
(4) Which term of the AP 3,8,13,18,............ is 78? Solution
(5) Find the number if terms in each of the following APs:
(i) 7, 13,19,.................205 Solution
(ii) 18, 15 ½ , 13,...............,-47 Solution
(6) Check whether -150 is a term of the AP 11,8,5,2,.......... Solution
(7) Find the 31st term of an AP whose 11th term is 38 and 16th term is 73 Solution
(8) An AP consists of 50 terms of which 3rd term is 12 and the last term is 73. Solution
(9) If the 3rd and 9th terms of an AP are 4 and -8 respectively,which term of this AP is zero? Solution
(10) The 17th term of an AP exceeds its 10th term by 7. Find the common difference. Solution
(11) Which term of the AP:3,15,27,39,.......... will be 132 more than its 54th term? Solution
(12) Two APs have the same common difference. The difference between their 100th term is 100, What is the difference between their 1000th terms? Solution
(13) How many three digit numbers are divisible by 7?
Solution
(14) How many multiples of 4 lie between 10 and 250? Solution
(15) For what value of n, are the nth terms of two APs 63,65,67,....... and 3,10,17,........ equal? Solution
(16) Determine the AP whose third term is 16 and 7th term exceeds the 5th term by 12. Solution
(17) Find the 20th term from the last term of the AP: 3,8,13,.........253 Solution
(18) The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP. Solution
(19) Subba Rao started work in 1995 at an annual salary of Rs5000 and received and increment of 200 each year. In which year did his income reach Rs.7000 Solution
(20) Ramkali saved Rs.5 in the first week of a year and then increased her weekly savings by Rs1.75. If the nth week,her weekly savings become Rs.20.75,find n. Solution
10th CBSE math solution for exercise 5.2