SOLUTION: As I was going to St. Ives, I met a man with 7 wives, every wife had 7 sacks, and every sack had 7 cats. Every cat had 7 kits. Kits, cats, sacks, wives, how many were going to St.

Question 929247: As I was going to St. Ives, I met a man with 7 wives, every wife had 7 sacks, and every sack had 7 cats. Every cat had 7 kits. Kits, cats, sacks, wives, how many were going to St. Ives? A.) use a geometric series to model as a sum the number of items (kits,cats,sacks,wives,man) that the narrator met. B.) evaluate this geometric series in 2 ways: directly by adding the terms, and also by using the summation formula that was developed.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
A)
The first term is for 1 man.
The second term is for the 7 wives per man for that 1 man.
The third term is for the 7 sacks per wife times 7 wives.
We see that we have a geometric sequence, with common ratio , and each term will be according to
The fourth term is representing the total number of cats.
The fifth term is representing the total number of cats.
B) The sum the number of items (kits,cats,sacks,wives,man) that the narrator met is
(directly by adding the terms).
Since the sum of a geometric series can be calculates as
,
in this case the sum is
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