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!

i dont know it

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source