The arithmetic sequence 2, 4, 6, 8, 10, . . represents the set of even natural numbers. what is the 100th even natural number? a100 =

 The 100th even natural number is 200.

Step-by-step explanation:  Given that the following arithmetic sequence represents the set of natural numbers :

2,  4,  6,  8,  10,  .  .  ..

We are given to find the 100th even natural number, i.e., the 100-th term of the sequence.

We know that

the n-th term of an arithmetic sequence with first term a and common difference d is given by

For the given sequence, we have

a = 2  and  d = 4 - 2 = 6 - 4 =  .  .  .  =2.

Therefore, the 100-th term of the sequence will be

Thus, the 100th even natural number is 200.