A museum opens with a collection of 250 items. During the first week after the opening, an additional fifteen items are donated to the museum’s collection. In each subsequent week, eight more items are donated to the museum’s collection than were donated in the previous week. Work out how many items are in the museum’s collection after sixteen weeks.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A museum opens with a collection of 250 items. During the first week after the opening, an additional fifteen items are donated to the museum’s collection. In each subsequent week, eight more items are donated to the museum’s collection than were donated in the previous week. Work out how many items are in the museum’s collection after sixteen weeks. 

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