My Lands: Black Gem Hunting

I want to complete the quest to complete 150 in a row and I thought that could be possible. However now two timed quests have popped up that requires BG's. Will they keep popping up until I fail that 150 quests for not completing the six quest requiring BG's?? If so that just forces players to keep putting money into this game to be able to play it and I thought this was a free to play game. If they keep popping up until I fail that quest I am quitting this game.

Yes, they will. That quest can't be completed without spending a lot of BGs.

there is a way to complete without bg donations, but you will miss out on a lot of very usefull rewards, from bg quests. but it's up to you

Just stop checking your quest log until you have several thousand gems at least.