Answer:
To find the 100th term of the sequence, we need to use the recursive rule and iterate it 99 times, since we are starting at the first term and need to get to the 100th term.
The recursive rule is given as 5, which means each term in the sequence is equal to the previous term times 5. Therefore:
The first term is 2.
The second term is 2 * 5 = 10.
The third term is 10 * 5 = 50.
The fourth term is 50 * 5 = 250.
And so on...
Iterating this rule 99 times gives us:
The 100th term is 2 * 5^99, which is approximately equal to 6.33825300114 × 10^66.
Therefore, the 100th term of the sequence starting with 2 and with a recursive rule of 5 is approximately 6.33825300114 × 10^66.