ARITHMETIC SEQUENCE WORD PROBLEMS WORKSHEET

Problem 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.

Problem 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  

Problem 3 :

In the following APs, find the missing term in the boxes

(i) 2,  ____ , 26          Solution

(ii) ____, 13 , ___ , 3        Solution

(iii) 5, ____ , _____ , 9  1/2   Solution

(iv) -4,____,____,___,_____,6     Solution

(v) ______,38 , ______ , ______ , ____ , -22     Solution

Problem 4 :

Which term of the AP 3,8,13,18,............ is 78?   Solution

Problem 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

Problem 6  :

Check whether -150 is a term of the AP 11,8,5,2,..........   

Solution

Problem 7 :

Find the 31^st term of an AP whose 11^th term is 38 and 16th term is 73     Solution

Problem 8 :

The 17^th term of an AP exceeds its 10^th term by 7. Find the common difference.      Solution

Problem 9 :

Which term of the AP :

3, 15, 27, 39,.......... will be 132 more than its 54th term? 

Solution

Problem 10 :

Two APs have the same common difference. The difference between their 100th term is 100, What is the difference between their 1000th terms ?    Solution

Problem 11 :

How many three digit numbers are divisible by 7?

Solution 

Problem 12 :

How many multiples of 4 lie between 10 and 250?     

Solution 

Problem 13 :

For what value of n, are the nth terms of two APs 63, 65, 67,....... and 3, 10, 17,........ equal?   Solution

Problem 14 :

Determine the AP whose third term is 16 and 7th term exceeds the 5th term by 12.         Solution

Problem 15 :

Find the 20th term from the last term of the AP: 3,8,13,.........253     Solution

Problem 16 :

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

Problem 17 :

Subba Rao started work in 1995 at an annual salary of $ 5000 and received and increment  of 200 each year. In which year did his income reach $7000     Solution

Problem 18 :

Ramkali saved $5 in the first week of a year and then increased her weekly savings by $ 1.75. If the nth week,her weekly savings become $ 20.75, find n. 

Solution

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