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bearhunter [10]
3 years ago
13

Priyanka and Ethan were asked to find an explicit formula for the sequence -3,-14,-25,-36,...

Mathematics
1 answer:
irga5000 [103]3 years ago
3 0

Answer:

a_{n} = 8 - 11n

Step-by-step explanation:

These are the terms of an arithmetic sequence with n th term

a_{n} = a + (n - 1)d

where a is the first term and d the common difference

here a = - 3 and

d = - 14 - (- 3) = - 14 + 3 = -11, thus

a_{n} = - 3 - 11(n - 1)

                        = - 3 - 11n + 11

                        = 8 - 11n

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