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Minchanka [31]
4 years ago
4

Consider the sequence -101, -91, -81, -71, ...

Mathematics
1 answer:
cricket20 [7]4 years ago
5 0

Answer: t_{n} = 10n - 111

Step-by-step explanation:

The first term of the sequence is - 101

we need to confirm that the sequence is arithmetic , that is , if it is arithmetic , it must have a common difference (d).

d = second term - first term = third term - second term

d = -91 - (-101)

d = -91 + 101

d = 10

Therefore the formula for the nth term is given as:

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

t_{n} = - 101 + (n - 1) 10

t_{n} = - 101 + 10n - 10

t_{n} = -111 + 10n

Therefore :

t_{n} = 10n - 111

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