Problems on Arithmetic and Geometric Progression

AP and GP ExerciseIn an A.P., if term is n and term is m, where m≠n, find the term.Insert five numbers between 8 and 26 such that the resulting sequence is A.P.How many term of the A.P. -6, -11/2, -5, ... are needed to give the sum -25?Find the sum of n terms of the A.P. whose kth term is 5k+1In an A.P., if term is and term is , prove that the sum of first term is where p≠qFind the sum of odd integer from 1 to 2001Find the sum of all natural number lying between 100 and 1000, which are multiple of 5Which term of G.P (2, 8, 32...) up to n terms is 131072?How many terms of the G.P. are needed to give the sum?The sum of first three terms of a G.P is and their product is -1. Find the common ratio and terms?Find the sum of sequence 7, 77, 777, 7777, ... to n termsInsert three numbers between 1 and 256 so that the resulting sequence is G.P.If A.M. and G.M. between two positive numbers a and b are 10 and 8, respectively, find the numbers a and bIf the of a G.P are a, b and c respectively. Prove that What is the value of .373737373737