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Mathematics | Sequences and Series

Arithmetic Progressions Geometric Progressions Harmonic Progressions Relations between AM Special Series
if a, b, c are in AP and GP then 
If a, b, c, d, e, f are in A.P., then f – c is equal to:
In an arithmetic progression, sum of terms equidistant from the beginning and the end is equal to the:
If a, b, c are three consecutive terms of an AP and x, y, z are three consecutive terms of GP, then the value of xb - c yc - a  za - b is
The fourth, seventh and tenth terms of a GP. are p, q, r respectively, then:
If a, b, c, d, e, f are in A.P., then e – c is equal to:
What is the fourth term of an AP of n terms whose sum is n(n + 1)?
Between two numbers whose sum is 360, 5 arithmetic means are inserted. What will be the sum of these means?
Let p be the mean of m observations and q be the mean of n observations, where p ≤ q. If the combined mean of (m + n) observations is c, then which one of the following is correct?
In a school prayer assembly, there are 23 students in the first row, 21 in the second, 19 in the third, and so on. There are 5 students in the last row. How many rows are there in the assembly?
How many two-digit numbers are divisible by 4?
Rachna agrees to work at the rate of Rs. 1 on April 1, Rs. 2 on April 2, Rs. 4 on April 3 and so on. How much money will she get on April 20?
What will be the arithmetic mean of the first 567 natural numbers?
The harmonic mean and the geometric mean of two numbers are 10 and 12 respectively. What is their arithmetic mean?
In an arithmetic progression, the 3rd term is 9 times the first term and the 5th term is 10. What is the 10th term?
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