# Angela opened a new bakery. She got orders for 2 cakes the first week, 4 cakes on the second week, and 8 cakes the third week. If this pattern continues, how many cake orders will Angela get the fourth week? (Please show work)

1 answer

###### Question:

Angela opened a new bakery. She got orders for 2 cakes the first week, 4 cakes on the second week, and 8 cakes the third week. If this pattern continues, how many cake orders will Angela get the fourth week?

(Please show work)

(Please show work)

## Answers

This is a geometric series where r=2. So your fourth week should be 16.i= 1 and n=4 so your equation is (1-r^n)/(1-r)This would be 1-16/1-2= -15/-1= 15/1 = 15Now just add your initial value (i=1) 1+15 = 16So 16 cakes

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