# Find the 50th term of the sequence 5, -2, -9, -16

**Solution:**

Given __sequence__:

5 - 2 - 9 - 16

__Common difference__ is -2 - 5 = -7

First term is 5

An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same.

In an arithmetic progression, there is a possibility to derive a formula for the nth term of the AP.

From __arithmetic progression__,

we have a_{n} = a + d(n - 1)

a_{50} = 5 - 7(50 - 1)

= -338

Therefore, the 50th term is -338.

## Find the 50th term of the sequence 5, -2, -9, -16

**Summary:**

The 50th term of the sequence 5 ,-2, -9, -16 is -338.

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