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Given: F3 = 5 k + 515 g F4 = 945k - 713 g ; find F20

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9514 1404 393

Answer:

F20 = 15985k -20361g

Explanation:

If we assume F3 and F4 are the third and fourth terms of an arithmetic sequence, the common difference is ...

d = F4 -F3 = (945k -713g) -(5k +515g)

d = 940k -1228g

Then the 20th term is ...

F20 = F3 +(20 -3)d = (5k +515g) +17(940k -1228g)

F20 = 15985k -20361g

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