Ms. Park bought 4 cakes to share for Adriana's birthday party. She is giving 2/5 of a cake to each person. How many people will be sharing the
cakes in total? Explain your reasoning.

10 people

Step-by-step explanation:

we have 4 cakes each on is being cut into 5 slices.

4 × 5 = 20 slices of cake

we have 20 slices and we are giving each person 2 slices

20 ÷ 2 = 10

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2