Discover the First 10 Terms of 3 Different Sequences | Easy Sequence Question

[Whatupdoc]

List the first 10 trems of each of these sequences.

i need help with this one:
1.) the sequence whose nth term is the sum of the first n positive integers

1,2,3,6,12,24,48,96...

i'm not really sure if this is correct. what I am doing is just adding the previous numbers together to get an answer.

 

[TD]

"the sequence whose nth term is the sum of the first n positive integers"
So for n = 1, add the first 'one' integers: 1
For n = 2, add the first two integers: 1+2 = 3
For n = 3, add the first three integers: 1+2+3 = 6
...

 

[quicknote]

For example, 1+2=3, 2+3=5, 3+5=8 and so on.

2.) the sequence whose nth term is the product of the first n positive integers

1,2,6,24,120,720,5040,40320...

This sequence is also known as the factorial sequence, where each term is obtained by multiplying the previous term by the current index. For example, 1*2=2, 2*3=6, 6*4=24 and so on.

3.) the sequence whose nth term is the nth power of 2

1,2,4,8,16,32,64,128...

This sequence is known as the powers of 2 sequence, where each term is obtained by raising 2 to the power of the current index. For example, 2^1=2, 2^2=4, 2^3=8 and so on.