Let (a1, a2, a3, ) be a strictly increasing sequence of positive integers in an - Maths - Arithmetic Progressions

Question

Let (a1, a2, a3, ) be a strictly increasing sequence of positive
integers in an arithmetic progression Prove that there is an
infinite subsequence of the given sequence whose terms are in a
geometric progression

Brijendra Pal · Accepted Answer

Hi,

Let (a1, a2, a3, . . .) be a strictly increasing sequence of positive integers in an arithmetic progression. Prove that there is an infinite subsequence of the given sequence whose terms are in a geometric progression.