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anastassius [24]
3 years ago
8

Find an explicit formula for the following sequence, an, which starts with a1=8.

Mathematics
1 answer:
nekit [7.7K]3 years ago
3 0

Answer:

a_{n} = 14 - 6n

Step-by-step explanation:

Note there is a common difference d between consecutive terms

2 - 8 = - 4 - 2 = - 10 - (- 4) = - 16 - (- 10) = - 6

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = - 6, thus

a_{n} = 8 - 6(n - 1) = 8 - 6n + 6 = 14 - 6n

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