CT 24: Arithmetic & Geometric Progression – I

1.Find the ratio between the 39th term to that of the 37th term for the geometric series with the common ratio of 24.

2. In an arithmetic progression, the 71th term is 491 and the common difference is 5 then find the first term in the series. 

3. Find the sum of the first 34 terms in the arithmetic progression series, in which the first term is 1248 and the last term is 1413. 

4. Find the minimum value of n for which the sum of n terms from 1 + 2 + 2² + 2³ +... is more than 255.

5. If the sum and product of the first three terms of the geometric progression (GP) are 78 and 5832 respectively, then find the fourth term of the descending geometric progression.

6. What is the value of:(1+1/19)+(1+2/19)+(1+3/19)........+(1+18/19)

7. The sum of all 4 - digit numbers which are divisible by both 3 and 5 is ______.

8. Find the sum of all three-digit numbers which are divisible by both 20 and 25.

9. What is the 8^th term of the G.P. 3, 6, 12, 24, …?

10. The difference between the n^th term and (n - 1)^th term of a sequence is independent of n. Then the sequence follows which one of the following?