Question

What comes after 9/4 in a sequence?

Answer 1

you need more information. are you given the values before 9/4 in the sequence?

Answer 2

Find the given term of each arithmetic sequence.
1/4,3/4,5/4,7/4,...;15th term

Answer 3

for example, in the sequence:
2,4,6,8
the value that comes after 8 would be 10 since we are adding 2 each time.

whereas in the sequence:
0,4,8
the value that comes after 8 would be 12 as we are adding 4 each time.

so you cannot answer "what comes after 8 in a sequence" with this other information.

Answer 4

Find the given term of each arithmetic sequence.
1/4,3/4,5/4,7/4,...;15th term

Answer 5

ok, do you know what an "arithmetic sequence" is?

Answer 6

Yes it is the difference between 2 numbers

Answer 7

sort of: it is a sequence where you add (or subtract) the same number from each term in a sequence.
so for your problem, the first thing you should do is work out what the difference between any two consecutive terms is.
what do you this is for your sequence?

Answer 8

what do you think this is for your sequence?

Answer 9

It is 2 right?

Answer 10

again - almost, remember that each term is divided by 4, so the difference between each term is actually 2/4 (or 1/2).

Answer 11

oh ok

Answer 12

so after 7/4 would come 9/4

Answer 13

you can then use the standard formulae to find the nth term of an arithmetic sequence. do you know the formulae?

Answer 14

yes 9/4 would be after 7/4

Answer 15

and after 9/4 would be 11/4 but im not sure how high it can go because i need to go to the 15 term, so i have to do it 15 times

Answer 16

you need to use the formulae for an arithmetic progression. are you aware of this formulae?

Answer 17

have you seen this formulae before?:\[a_n=a_1+(n-1)d\]

Answer 18

and after 9/4 would be 11/4 but im not sure how high it can go because i need to go to the 15 term, so i have to do it 15 times

Answer 19

o yes i have seen that formula but i forgot how to use it

Answer 20

ok, in this formulae, the first term of the sequence is a1. "d" is the difference between each term. "n" indicates which term you require. so, for your example, we would have:\[a_1=1/4\]\[d=1/2=0.5\]\[n=15\]so:\[a_15=1/4+(15-1)0.5\]

Answer 21

oh ok

Answer 22

sorry:\[a_{15}=1/4+(15-1)/2\]

Answer 23

yeah i understood but i have to go for a little while so thank you for teaching me the formula

Answer 24

no problem - glad to help out

Answer 25

or simply, the 15th odd term divided by 4 :)

(2(k)-1)/4 given that k=15