An arithmetic progression has as its first term. Also, the sum of the first terms is twice the sum of the first terms. What is the common difference?

Explanation: Concept: Arithmetic Progression (AP): The series of numbers where the difference of any two consecutive terms is the same, is called an Arithmetic Progression. • An Arithmetic Progression of n terms, with first term a and common difference d, is represented as: a, a + d, a + 2d, a + 3d, ..., a + (n - 2)d, a + (n - 1)d. • The sum of n terms of the above series is given by: . Calculation: It is given that first term a = 3. Let the common difference be d. Also, the sum of the first 8 terms is twice the sum of the first 5 terms.

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NIMCET 2020 — Mathematics PYQ

NIMCET | Mathematics | 2020

An arithmetic progression has $3$ as its first term. Also, the sum of the first $8$ terms is twice the sum of the first $5$ terms. What is the common difference?

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