Show that form an AP where is defined as below

MATHEMATICS · Multi-part · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

Show that a1,a2,…,an,…a_1, a_2, \dots, a_n, \dots form an AP where ana_n is defined as below. Also find the sum of the first 15 terms in each case. (1) an=3+4na_n = 3 + 4n (2) an=9−5na_n = 9 - 5n

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