Q- Write the nth term, generalized statement, and the 100th term of the given number sequence. (Need answer urgent) 1) 1,2,3
2) 2,4,6
3) 3,5,7
4) 1,4,7,10
5) -1,-2,-3

1) n

2) 2n

3) 2n+1

4) 3n-2

5) -n

Step-by-step explanation:

To write a generalized statement for a pattern using n, we multiply n by the common difference between each term. We add the term number before the first term to this.

1) 1, 2, 3...

For the first question, the common difference is 1 because each term increases by 1. Multiply n by 1.

1n

To find the term number before the first term, we subtract 1 from the first term.

1-1=0

Therefore, our general statement is 1n+0, or just n.

2) 2, 4, 6...

The common difference is 2 because we add 2 each time. Multiply n by 2.

2n

The term number before the first term is equal to the first term - the common difference.

2-2=0

Therefore, our general statement is 2n+0, or just 2n.

3) 3, 5, 7...

The common difference is 2 because we add 2 each time. Multiply n by 2.

2n

The term number before the first term is equal to the first term - the common difference.

3-2=1

Therefore, our general statement is 2n+1.

4) 1, 4, 7, 10...

The common difference is 3 because we add 3 each time. Multiply n by 3.

3n

The term number before the first term is equal to the first term - the common difference.

1-3=-2

Therefore, our general statement is 3n+(-2), or 3n-2.

5) -1, -2, -3...

The common difference is -1 because we subtract 1 each time. Multiply n by -1.

-1n

The term number before the first term is equal to the first term - the common difference.

-1-(-1)

= -1+1 (because two negatives make a positive)

= 0

Therefore, our general statement is -1n+0, or just -n.

I hope this helps!

the axial of symmetry

step-by-step explanation: