Question

Gaelle Bosquet Nth Term of an Arithmetic Sequence Apr 10, 12:29:36 AM Find the 60th term of the arithmetic sequence 4,-1,-6, ... Answer: Submit Answer

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Answer 1

The nth term is
`a_n = 4 - 5(n-1)`

The 60th term of the sequence is -291.

Explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.

The nth term is given by:

`a_n = a_1 + (n-1)d`

In which
`a_1` is the first term and d is the common difference.

4,-1,-6

The common difference is:

`d = -1 - 4 = -5`

First term
`a_1 = 4`

So

`a_n = a_1 + (n-1)d`

`a_n = 4 - 5(n-1)`

60th term:

`a_(60)`. Si

`a_(60) = 4 - 5(60-1) = -291`

The 60th term of the sequence is -291.