Question

A sequence is defined resursively by the formula f(n + 1) = f(n) + 3. The first term of the sequence is -4. What is the next term in the sequence? -7, -1, 1, 7 ​

Answer 1

The next term of the sequence is -1.

Given, a sequence is defined recursively by the formula

f(n + 1) = f(n) + 3.

The first term of the sequence is -4.

We, have to find the next term of the sequence,

On using the formula of the sequence, we get

f(n + 1) = f(n) + 3

As, f(1) = -4

Put n = 1,

f(1 + 1) = f(1) + 3

f(2) = f(1) + 3

f(2) = -4 + 3

f(2) = -1

So, the next term of the sequence is -1.

Hence, the next term of the sequence is -1.

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