what is the 125th term of the sequnce 5, 11, 17, 23
Sure looks like the common difference is 6 and the first term is 5
term(125) = a + 124d
= 5 + 124*6
= ...
774
To find the 125th term of the sequence, we need to identify the pattern and the rule that generates each term.
Looking at the given sequence, we can observe that each term is obtained by adding 6 to the previous term. Starting with the first term (5), we can derive the terms iteratively as follows:
1st term = 5
2nd term = 5 + 6 = 11
3rd term = 11 + 6 = 17
4th term = 17 + 6 = 23
Now that we understand the rule, we can use it to find the 125th term.
125th term = 23 + (125 - 4) * 6 [subtract 4 because we already have the first 4 terms]
Calculating this equation:
125th term = 23 + 121 * 6
125th term = 23 + 726
125th term = 749
Therefore, the 125th term of the sequence 5, 11, 17, 23 is 749.