# A sequence is defined by the recursive function #f(n+1) = f(n) - 2 #. If # f(1) = 10# , what is # f(3 #)?

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Ratnaker Mehta
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Oct 11, 2016

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Given that,

Since, this last eqn. holds good

of any two consecutive terms of the Seq. is a constant

Obviously, the Seq. has to be an **Arithmetic Seq.** with, first term

**Common Difference**

Accordingly, the **General** **Term**

Hence, the Reqd. Term

**Alternatively,**

A

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