What is the answer to this sequence using the nth term: 36,33,30,27,24,21,18?

Question

My maths homework was to fill in some sequences and find the rule with the nth term. So far, I have been given sequences like 3, 6, 9, 12, 15, 18 which the numbers are getting bigger. But this sequence really got me wondering is the answer different if the numbers are getting smaller? Because the sequence (36,33,30,27,24,21,18) is going down in 3, I thought that if the sequence was turned the other way around it would be 18,21,24,27,30,33,36 and the rule would 3n, but I'm not sure if the answer would be the same backwards. PLEASE HELP!

Answer 1

term(n)=39-3n

n start at 1  & inkreez bi 1...1, 2, 3, 4

YES the numbers go DOWN

its legal

Answer 2

thank you I worked it out :) in inverse could it be -3n +39????

Answer 3

I'm stuck like... It's indescribable. First of all I got something on number sequences and then it asks for some 'nth' term.

Answer 4

3n+33

Answer 5

In an arithmetic sequance, which is what you have been dealing with, the terms of the sequence differ by a constant amount.

So it doesn't matter it the difference between successive terms is positive or negative, as long as they are constant, the same each time.

The general rule for the nth term of an AP (ArithmeticProgression) is:

a_n = a_1 + (n-1)*d

where a_1 is the 1st term

and d is the commom difference.

For your sequence, your first term is a_1 = 36 and the common difference is d = -3.

So the general term (the rule) is:

a_n = 36 - 3(n-1)

a_n = 39 - 3n

Answer 6

39-3n