If you join an online social network and make 10 friends, each of whom has 10 friends you are not friends with, you are connected to 10 friends on the first step plus 10 times 10 (or 100) friends on the second step. The result is 10 plus 10 times 10 equals 110 connections. After 3 steps, you are connected with 1,000 more friends, so the total number of connections made is 10 plus 10 times 10 plus 10 times 10 times 10 equals 1,100 (This would be a general equation for 3 steps). Calculate the total number of connections after 4 steps.

If you join an online social network and make 7 friends, calculate the total number of connection after 3 steps. [Whole number, no units or labels]

If you join an online social network and make 7 friends, calculate the total number of connection after 4 steps. [Whole number, no units or labels

If you join an online social network and make 7 friends, calculate the total number of connection after 5 steps. [Whole number, no units or labels]

If you join an online social network and make 7 friends, calculate the total number of connection after 6 steps. [Whole number, no units or labels]

How many friends would you need initially in order to connect with 7.4 Billion people?

How many friends would you need initially in order to connect with 500 Thousand people?