Question

Can u create an algebraic equation to describe the relationship between the term value and its position in the pattern given below :

termnumber: term value:
1 . 3
2. 12
3. 21
4. 30



term value:3,12,21,30.​

Answer 1

t(n+1) = t(n) +9

Explanation:

Let the Term position be represented by n.

and term value is represented by t.

so term value at any position can be represented by t(n).

Here look closely

t(1)=3, t(2)=12, t(3)=21, t(4)=30

By examining, we notice that the next term is 9 more than the previous one.

e.g

t(2)= t(1)+9

3+9

t(2)=12

t(3) = t(2)+9

t(3) = 21

we can represent them in mathematical form as:

t(n+1) = t(n) +9