## Important Questions on Arithmetic Progression

Q1. Check whether – 150 is a term of the AP: 11, 8, 5, 2 . . .

Q2. If the 3rd and the 9th terms of an AP are 4 and 8 respectively, then which term of this AP is zero.

Q3. How many multiples of 4 lie between 10 and 250?

Q4. The sum of 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.

Q5. Ramkali saved Rs 5 in the first week of a year and then increased her weekly saving by Rs 1.75. If in the nth week, her weekly savings become Rs 20.75, find n.

Q6. How many terms of the AP : 24, 21, 18, . . . must be taken so that their sum is 78?

Q7. The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

Q8. If the sum of the first n terms of an AP is 4n − n^{2}, what is the first term (that is S_{1})? What is the sum of the first two terms? What is the second term? Similarly find the 3rd, the 10th and the nth terms.

Q9. The sum of the third and the seventh terms of an AP is 6 and their product is 8. Find the sum of the first sixteen terms of the AP.

Q10. The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last term to the product of two middle terms is 7 : 15. Find the numbers.

see also: Important Questions on Squares and Square Roots