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# What is the recursive rule for the sequence? -2.7, -8.3, -13.9, -19.5, -25.1,…

**Solution:**

A recursive formula consists of the first term and the difference between successive terms, a_{n+1} = a_{n} + d.

⇒ d = a_{n+1} - a_{n}

Given sequence is -2.7, -8.3, -13.9, -19.5, -25.1,…

Put n = 1; d = a_{2} - a_{1} = -8.3 - (-2.7) = -5.6

Put n = 2; d = a_{3} - a_{2} = -13.9 - (-8.3) = -5.6

Hence, the difference between the successive terms is the same.

a_{n+1} = a_{n} -5.6

Therefore, the recursive rule for every successive term is written by adding -5.6.

## What is the recursive rule for the sequence? -2.7, -8.3, -13.9, -19.5, -25.1,…

**Summary:**

The recursive rule for the sequence -2.7, -8.3, -13.9, -19.5, -25.1,… is adding -5.6.

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