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Murrr4er [49]
3 years ago
6

Find an explicit rule for the nth term of the sequence.

Mathematics
1 answer:
Margarita [4]3 years ago
6 0

Answer:

a_{n} = - 4 × 2^{n-1}

Step-by-step explanation:

Note there is a common ratio between consecutive terms in the sequence.

r = - 8 ÷ - 4 = - 16 ÷ - 8 = - 32 ÷ - 16 = 2

This indicates that the sequence is geometric with n th term

a_{n} = a (r)^{n-1}

where a is the first term and r the common ratio

Here a = - 4 and r = 2, thus

a_{n} = - 4 (2)^{n-1} ← explicit rule

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