Suppose you toss a coin and will win 1 if it comes up heads

Last updated: 7/3/2023

Suppose you toss a coin and will win 1 if it comes up heads If it comes up tails you toss again This time you will receive 2 if it comes up heads If it comes up tails toss again This time you wil receive 4 if it is heads Continue in this fashion for a total of 1 000 flips of the coin after which you receive nothing if it comes up tails What is the mathematical expectation for this game X