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Sphinxa [80]
3 years ago
6

Write down in terms of n, an expression for the nth term

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
7 0

Answer:

a_{n} = - 7n - 1

Step-by-step explanation:

There is a common difference between consecutive terms , that is

- 15 - (- 8) = - 22 - (- 15) = - 29 - (- 22) = - 36 - (- 29) = - 7

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 8 and d = - 7 , then

a_{n} = - 8 - 7(n - 1) = - 8 - 7n + 7 = - 7n - 1

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