The nth term of a sequence is 2n2 + 1 The nth term of a different sequence is 65 - 2n2. Show that there is only 1 number that is in both of these sequences

The only common term is 33.

Step-by-step explanation:

We are given the following in the question:

Sequence 1:

Sequence 2:

Equating the two terms, we get,

Since, n cannot take a negative value, we get n = 4.

Thus, there is only 1 common term both the series have for n = 4.

Common term:

Thus, the only common term is 33.

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step-by-step explanation:

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