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

- 53

Step-by-step explanation:

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

d = - = - ...

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 :

= a + ( n - 1 ) d

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

= a + (27 - 1 ) d

substituting the value of a and d , we have

= - 1 + (26) x -2

= -1 -52

= -53

Therefore , the 27th term = - 53