The sum of the first $100$ terms of an arithmetic progression is $10000$; the first, second and

Question

The sum of the first $100$ terms of an arithmetic progression is $10000$; the first, second and fifth terms of this progression are three consecutive terms of a geometric progression. Find the first term, $a$, and the non-zero common difference, $d$, of the arithmetic progression.

Accepted Answer

$a=1$, $d=2$

Sequence and Series - Arithmetic Progression

Sequence and Series - Arithmetic Progression

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