Find the sixth term in the sequence: 4, 7, 10, . . .
The common difference between each term is 3, so to find the sixth term we can add 3 to the fifth term:
5th term: 4 + 3(5-1) = 4 + 12 = 16
6th term: 16 + 3 = 19
Therefore, the sixth term in the sequence is 19.
To find the pattern in the given sequence, we can observe that each term increases by 3.
Starting with the first term of 4, we can find the nth term of the sequence using the formula:
nth term = first term + (n - 1) * difference
In this case, the first term is 4 and the difference is 3.
So, the sixth term can be found using the formula:
6th term = 4 + (6 - 1) * 3
= 4 + 5 * 3
= 4 + 15
= 19
Therefore, the sixth term in the given sequence is 19.