On the second week, Jonathan saves 10 + 5 = <<10+5=15>>15 dollars.
On the third week, he saves 15 + 5 =<<15+5=20>>20 dollars.
On the fourth week, he saves 20 + 5 = <<20+5=25>>25 dollars.
On the fifth week, he saves 25 + 5 = <<25+5=30>>30 dollars.
On the sixth week, he saves 30 + 5 = <<30+5=35>>35 dollars.
On the seventh week, he saves 35 + 5 = <<35+5=40>>40 dollars.
On the eighth week, he saves 40 + 5 = <<40+5=45>>45 dollars.
Jonathan would have saved a total of 10 + 15 + 20 + 25 + 30 + 35 + 40 + 45 = <<10+15+20+25+30+35+40+45=220>>220 dollars. Answer: \boxed{220}.
Jonathan is saving money for a new bicycle. He saves 10 on the first week, then increases his savings by 5 each week. How much money will Jonathan have saved by the end of the eighth week?
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