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Meaning and Basics of Arithmetic Progression, Derivation for nth term (General term) of Arithmetic Progression, Derivation for Sum to n terms of a Arithmetic Progression, Relationship between Arithmetic Progression and Arithmetic Mean


Question 1. Find the sum of odd integers from 1 to 2001.

Question 2. Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.

Question 3. In an A.P., the first term is 2 and the sum of the first five terms is one-fourth of the next five terms. Show that 20th term is –112.

Question 4. How many terms of the A.P. \( -6, -\frac{11}{2}, -5, … \) are needed to give the sum –25?