Q.1
The 4th and 7th term of an arithmetic progression are 11 and -4 respectively. What is the 15th term?
Q.2
The 3rd and 8th term of an arithmetic progression are -13 and 2 respectively. What is the 14th term?
Q.3
What is the sum of the first 11 terms of an arithmetic progression if the 3rd term is -1 and the 8th term is 19?
Q.4
The 7th and 21st terms of an AP are 6 and -22 respectively. Find the 26th term
Q.5
After striking the floor, a rubber ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres.
Q.6
A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :
Q.7
The first term of an Arithmetic Progression is 22 and the last term is -11. If the sum is 66, the number of terms in the sequence are:
Q.8
Find the nth term of the following sequence : 5 + 55 + 555 + . . . . Tn
Q.9
How many terms are there in 20, 25, 30 . . . . . . 140?
Q.10
The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term?
Q.11
The 9th term of an A.P. is 449 and 449th term is 9. The term which is equal to zero is
Q.12
If Sn denote the sum of n terms of an A.P. with first term a and common difference d such that $$\frac{{{S_x}}}{{{S_{kx}}}}$$ is independent of x, then
Q.13
The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?
Q.14
The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th term?
Q.15
Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.
Q.16
Find the 15th term of the sequence 20, 15, 10 . . . . .
Q.17
If Sn denotes the sum of the first r terms of an A.P. Then, S3n : (S2n – Sn) is
Q.18
If $$\frac{1}{{x + 2}},$$  $$\frac{1}{{x + 3}},$$  $$\frac{1}{{x + 5}}$$   are in A.P. then x = ?
Q.19
The sum of n terms of two A.P.’s are in the ratio 5n + 4 : 9n + 6. Then, the ratio of their 18th term is
Q.20
The sum of first 20 odd natural numbers is
0 h : 0 m : 1 s