Question

How would you find the 27th term Given the arithmetic sequence: -1, -3, -5, -7, . . .

Answer 1

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Answer 2

Answer: - 53

Explanation:

For a sequence to be arithmetic sequence then there must be a common difference (d). Common difference is given by :

d =
`t_(2)` -
`t_(1)` =
`t_(3)` -
`t_(2)` ...

From the sequence given :

a = -1

d = -3 - (-1 )

d = -3 + 1

d = -2

The formula for nth term of an arithmetic sequence is given as :

`t_(n)` = a + ( n - 1 ) d

where n is the number of terms , therefore, the 27th term will be

`t_(27)` = a + (27 - 1 ) d

substituting the value of a and d , we have

`t_(27)` = - 1 + (26) x -2

`t_(27)` = -1 -52

`t_(27)` = -53

Therefore , the 27th term = - 53