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antiseptic1488 [7]
3 years ago
14

Please solve the problem C.

Mathematics
1 answer:
anygoal [31]3 years ago
3 0

Sure.

The common difference is 1/3

d = 8/15 - 1/5 = 8/15 - 3/15 = 5/15 = 1/3

d = 13/15 - 8/15 = 5/15 = 1/3

So the seventh term is

S_n = S_1 + (n-1)d

S_7 = (1/5)  + 6(1/3) = 11/5

The sum is the average of the first and last times the number of elements

(1/2)(1/5 + 11/5)(7) = 7(6/5) = 42/5 = 8.4

Answer: 42/5

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