Question

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

Answer 1

Answer:

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!

Answer 2

Here are all the 5 bits.
Hope this helps!!