Question

. Which is the iterative rule for the sequence: 2, 9, 16, 23, 30, …?
(Points : 1)

Answer 1

an = 2 + 7n?

Answer 2

look at the rule you have got
an=2+7n

when n is 1 do you get 2?

7n is correct because the difference is 7
so when you have 7n

let n=1
n=2
n=3

you get 7, 14, 21

how do you get from 7 to 2
14 to 9
21 to 16

Answer 3

Ok, so an = 5 + 7n is my answer then?

Answer 4

you must subtract 5 not add 5

Answer 5

so your answer would be

an=7n-5

Answer 6

where the first term is when n=1
second term is n=2

Answer 7

since we are working out the first, second third and fourth term we will let this be n
the sequence goes up in 7, so we write the seven times table

how do we get from n to the number in the seven times table

to get from 1 to 7 we multiply by 7
to get from 2 to 14 we multiply by 7
etc

so we know we must have 7n

now how do we get from 7, 14, 21, 28
to the numbers in our sequence, well we must subtract 5 since
7-5=2
14-5=9
etc

so our answer is
an=7n-5