Budget and Budgetary Control

MODULE2: PROGRESSIONS

ARITHMETIC PROGRESSION

PROBLEMS

1. Find the 13th term of the AP: 11/5, 1, -1/5, -7/5, …

2. The third and thirteen terms of an AP are respectively equal to -40 and 0.Find the AP and its 20th term.

3. Is 203 any term of the AP: 13, 28, 43, 58, 73, …….?

4. If the ratio of the 7th to the 3rd term of an AP is 12:5, find the ratio of the 13th to the 14th term.

5. Find the missing terms of the AP: 78, ---, ---, 180, ---

6. How many terms of the AP: -8, -4, 0, 4, ….must be taken so that the sum may be 132?

7. The first term and the last term of an AP are -4 and 146. The sum of the AP is 7171. Find the number of terms and common difference.

8. Find the sum of all natural numbers between 100 and 800 divisible by 7

9. The sum of 3 numbers in AP is 15 and sum of the squares of its 1st and 3rd term is 58. Find the numbers

10. Insert 4 arithmetic means between 2 and -8

11. If a, b, c are in AP, Prove that are in AP

12. The sum of 4 numbers in AP is 24 and their product is 945. Find them

APPLICATIONS

1. Based on statistical survey, it is found that agricultural production in India increases in AP beginning from 2000. The production in 2004 and 2014 was 68 and 88 million tons respectively. Forecast the production in 2017.

2. Mr.A takes a loan of Rs.2000 from Mr.B and agrees to repay in a number of installments, each installment (beginning with the second) exceeding the previous one by Rs.10. If the first installment is Rs.5, find how many installments will be necessary to wipe out the loan completely.

3. Techno Corp and Digital Infotech are two leading semiconductor companies in competition in the global market. They specialize in the production of Integrated chips(IC’s) used in cell phones. The production details of the two companies are as follows. Techno Corp begins production with 1000 units of IC’s per...