Can you find the 11th term of the arithmetic sequence: 5, 12, 19, 26.
72
Gcccv
Sure! To find the 11th term of an arithmetic sequence, we need to first identify the common difference between the terms.
In this case, we can see that the common difference is 7. Each term is obtained by adding 7 to the previous term.
To find the 11th term, we can use the formula for the nth term of an arithmetic sequence:
An = A1 + (n - 1) * d,
where An represents the nth term, A1 represents the first term, n represents the term number, and d represents the common difference.
Given that A1 = 5 and d = 7, we can substitute these values into the formula:
A11 = 5 + (11 - 1) * 7.
Now we can calculate:
A11 = 5 + 10 * 7 = 5 + 70 = 75.
Therefore, the 11th term of the arithmetic sequence is 75.