An asset’s value was $1,439 7 days ago. If the asset’s value has uniformly increased and its value today is $1,522, what was its value 2 days ago? would you use geometric progression ?

It is not the geometric progression. It is said the increase is uniform, whereas the increase in the case of geometric progression is exponential.

Uniform increase means that the amount the asset increased by each day is the same for every day. Thus if the asset increased from $1,439 to $1,522 in 7 days, it means it increased by (1522-1439)/7=83/7 in one day. Two days ago the asset was 2*83/7 less than today, so it was 1522-166/7≈$1498.