The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only 61% of the carbon-14 expected in living matter, when did the tree die? The tree died about years ago.

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

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