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kompoz [17]
3 years ago
10

Why did King Charles II award the Lord’s Proprietors the Province of Carolina?

Social Studies
1 answer:
sweet [91]3 years ago
5 0

On March 24, 1663, King Charles II signed the first Charter for the colony of Carolina, granting liberal authority over a gigantic tract of land in the New World to eight (8) of his strongest supporters in his restoration to the Crown after the English Civil War and Oliver Cromwell's decade rule of England. These eight (8) supporters were known as Lords Proprietors, as named above.

:)

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Answer:

From the first generation = 2 ancestors.

From the second generation = 4 ancestors or (2)^2 ancestors.

From the third generation = 8 ancestors or (2)^3 ancestors.

We can infer from the given data, each consecutive generation possesses twice the number of members.

The sum will be:

2 + 4 + 8 + 16 + ... + (2)^39

To evaluate the amount of ancestors, let's employ the formula for the summation of a geometric sequence.

(Geometric sequence shows the sequence of numbers that varies by a specific factor. This factor is specifically known as a ratio).

Formula for Geometric sequence:

S = (a1) × 1 - (r)^n

--------------------------

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Take:

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a1 = 2; r = 2; and n = 39

S = (2) × 1 - (2)^39

-------------------------

1 - 2

S = 1,099,511,627,777

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