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14 Valéria joins a social networking website. After 1 week she has 34 online friends. At the end of
2 weeks she has 41 friends, after 3 weeks she has 48 friends, and after 4 weeks she has 55 friends.
a.Show that Valéria's number of friends forms an arithmetic sequence.
b.Assuming the pattern continues, find the number of online friends Valéria will have after
12 weeks.
C.After how many weeks will Valéria have 150 online friends?

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