Question

I need to know the formula to get the 100th and 30th term answers any suggestions?

Answer 1

Start by finding the differences.
step 2 - step 1 = ?
step 3 - step 2 = ?
Step 4 - step 3 = ?
Is there a pattern or consistent number?

Answer 2

3-1= 2
6-3=3
10-6=4

Answer 3

It's going u by 1 constantly but how could you make that into a formula to find the 100th term

Answer 4

what she said

Answer 5

To do what I did above I would have to have every single term all the way up to 100 wouldn't I?

Answer 6

The problem starts with the top. 1 person would have 0 handshakes. There is no one to shake hands with.

Answer 7

The formula is for the total number of 1+2+3+...+n and this
formula is (1/2)(n)(n+1),
which is why at n=10, the sum is 55
and at n=100, the sum will be (1/2)(100)(101)= 5050

Answer 8

Thank you @douglaswinslowcooper !!!