Answer: The 46th term in the sequence is 2 + (45 * 5) = 227.
Explanation:
To find the 46th term in the sequence 2, 7, 12, ..., we need to identify the pattern in the sequence.
By examining the numbers, we can observe that each term in the sequence is 5 more than the previous term.
Let's start with the first term, which is 2.
To find the second term, we add 5 to the first term:
2 + 5 = 7
To find the third term, we add 5 to the second term:
7 + 5 = 12
Following this pattern, we can find the 46th term by adding 5 successively to the previous terms.
Let's do that step by step:
First term: 2
Second term: 2 + 5 = 7
Third term: 7 + 5 = 12
Fourth term: 12 + 5 = 17
Fifth term: 17 + 5 = 22
Continuing this pattern, we add 5 to the fifth term to find the sixth term, and so on, until we reach the 46th term.
Therefore, the 46th term in the sequence is 2 + (45 * 5) = 227.
Hope this helps.