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3 years ago

13

What is the location of the point on the number line that is 1/4 of the way from

1 answer:

Aleonysh [2.5K]3 years ago

5 0

answer is 31

Step-by-step explanation:

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3 years ago

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

HACTEHA [7]

Answer:

The only common term is 33.

Step-by-step explanation:

We are given the following in the question:

Sequence 1:

$n^{th}\text{ term: } 2n^2 + 1$

Sequence 2:

$n^{th}\text{ term: } 65 - 2n^2$

Equating the two terms, we get,

$2n^2 + 1 = 65 - 2n^2\\4n^2 = 64\\\\n^2 = \dfrac{64}{4}\\\\n^2 = 16\\n = \pm 4$

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:

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Thus, the only common term is 33.

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3 years ago