Chelsbella2002
Chelsbella2002 Chelsbella2002
  • 04-05-2021
  • Mathematics
contestada

The nth term of a number sequence is n2-3
(a) Find the 4th term of this sequence.
b) Show that 40 is not a number in this sequence.

Respuesta :

Аноним Аноним
  • 04-05-2021

Here's the solution,

nth term = n² - 3

So, 4th term :

=》(4)² - 3

=》16 - 3

=》13

4th term of the sequence is 13

now, let's assume that 40 is a number in the sequence, then

=》40 = n² - 3

=》40 + 3 = n²

[tex]n = \sqrt{43} [/tex]

but, the term of the sequence should be a natural number, so our assumption was wrong, hence 40, can't be a number of this sequence.

Answer Link

Otras preguntas

Atomic Theory is A- subject to change if new information is discovered. B- a solution to the problem of differing isotopes. C- Unchangeable D- a descriptive tab
Ricardo has read 2/3 of a book Lin has read 2/4 of the same book who has read more books
What is the answer to 7+6/(-7+9)^2
Multiply the equation (t-7)^3
Read the following paraphrase of a speech by Andrew Jackson in 1830: Can it be that the savage has a stronger attachment to his home than the settled, civilized
why did the spanish government help established catholic missions
In Othello, when Othello demands "ocular proof," how does Iago Answer?
a quarter horse often excels at running races of 1/4 or less. how many feet is that
Which fraction and equivalent decimal correctly shows the ratio of shaded circles to all circles?
Which economic term refers to the situation where one country can manufacture and export automobiles at a lower cost than its competitors? opportunity cost comp