Mathematics
22.01.2023 05:21
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The nth term of a number sequence is n2-3 (a) Find the 4th term of this sequence.

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.
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jadawada223
jadawada223
4,6(68 marks)

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

n =  \sqrt{43}

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.

breahnareedy
breahnareedy
4,9(30 marks)
I believe the answer is 2 because anything between those lines (absolute value) will be positive but you have to subtract because there is a subtraction symbol

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