Asked by Anonymous

Emily drives 1000km in the first week of her journey. Every week Emily increases the distance by 50%. So, in the second week she drives 1500km, and in the third week she drives 2250km.

How far will she have travelled altogether after 5 weeks?

A. 5062.5km C. 9650.5km
B. 8125.5km D. 10152.5km

Answer I got was 1000 + 1500 + 2250 + 3375 + 5062.5 = 13187.5, which is incorrect.
Answered by Steve
you have a geometric progression, with

a = 1000
r = 1.5

S5 = 1000(1.5^5-1)/(1.5-1) = 13187.5

The answer key is wrong.
Answered by Anonymous
Alright, thanks for confirming.
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