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.

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

Step-by-step 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

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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