my sons maths homework has this question in it ,and im totally stumped please help?

Question

find a formula for T(n)the general term for 3,2.8,2.6,2.4,2.2


i dont want to look a complete fool if he asks me how to solve this can someone help me please ?

Answer 1

each number is subtracting .2 from the previous.
3-.2=2.8, etc.

Answer 2

Starting with 3, you are subtracting 0.2 each time.

The second term is 3 - 0.2 x 1

The third term is 3 - 0.2 x 2

The fourth term is 3 - 0.2 x 3

The eighth term is 3 - 0.2 x 7

The twentieth term is 3 - 0.2 x 19

You should be seeing a pattern developing, where the number that 0.2 is being multiplied by is one less than the term number, so the one hundredth term is:

3 - 0.2 x 99.

So the nth term will be:

3 - 0.2 x (n-1).

We would usually simplify this:

3 - 0.2(n-1)

=3 - 0.2n + 0.2

=3.2 - 0.2n.

Hope this helps, Twiggy.

Answer 3

This one is harder to grasp than most so you do well to try.The answer is:-
T(n)=3.2-0.2n
The trick is to find the difference between terms first,this is the multiplier.Obviously in this example it is -0.2
You then set it out as a trial of T(n)=3-0.2n for n=1,2,3.....
like so:-
n = 1 3 4
3.0-0.2n = T(n)= 2.8 2.6 2.4

These numbers are all too small so add 0.2 to each
term. so you end up with

T(n)=3-0.2n+0.2 which is the same as
T(n)=3.2-0.2n

Answer 4

well,this is an arithmetic sequence
how did I know ?
2.8 - 3 = - 0.2
2.6 - 2.8 = - 0.2
as u can see we always get the same answer
we call -0.2 the constant difference
the formula of an arithmetic sequence is
an = a1 + (n -1)d
where a1: the 1st term
d: constant difference
so the general term for this sequence will be

an = 3 + (n-1)(-0.2)

= 3 + -0.2n+0.2

= 3.2 - 0.2n

Answer 5

This is an arithmetic progression with d = -0.2
Thus the general term is 3 +d x n = 3 -0.2 n for n= 1, 2, 3,....,

Answer 6

T(n) = 3 - 0.2 * (n -1), assuming 3 is the 1st item in the list corresponding to n = 1.

Answer 7

Im sorry i can not help you with that but come out to your son if you dont want to look like a fool just say what my parents say if they dont know how to solve it "wooh i cant solve that one hun ask your mother" or "ask samantha shes great in math" LOL just kidding your son wont make fun of you if he really oves you.
hope i helped at least a little

Answer 8

GCF is your key right here. no longer irritating approximately Jack. Cindy and Eddy offered complete bins . . . so which you prefer the GCF of 250 and 3 hundred it quite is 50, this will additionally paintings for Jack because of the fact he has a quantity with 50 as a component. undergo in innovations is this is the ideal sort of packs in a field. desire this enables you.

Answer 9

its a step equation, so T(n)= 3-n/5 where n=0,1,2,3,4,5...etc

it starts at 0 so it will be T(0)=3-0/5 = 3

T(1)=3-1/5=2.8
T(2)=3-2/5=2.6
and so on

Thats the equation that I would come up with. Good luck

Answer 10

The next answer appears to be 2.0 or 2 and the formula would appear to include -0.2.

Every subsequent answer would be -0.2

I hope this helps and is of some use to you.

GOOD LUCK

:-)

Answer 11

I think wsaupi is close, but it looks like 3 corresponds to n=1. So T(n)=3.2-0.2n