Final answer:
To find the 10th term from the end of the arithmetic progression (AP) 4, 9, 18, we can first find the 10th term from the beginning and then count 10 terms back. The 10th term from the beginning is 49, and the 10th term from the end is 90. Therefore, the correct answer is (d) 10.
Step-by-step explanation:
To determine the 10th term from the end of the arithmetic progression (AP) 4, 9, 18, we need to find the 10th term from the beginning and then count 10 terms back. In this AP, the difference between consecutive terms is 9 - 4 = 5. The formula to find the nth term of an AP is:
nth term = first term + (n - 1) * common difference
Using this formula, we can find the 10th term from the beginning: 4 + (10 - 1) * 5 = 4 + 9 * 5 = 49.
Now, to find the 10th term from the end, we count 10 terms back from the last term of the AP, which is 18: 18, 27, 36, 45, 54, 63, 72, 81, 90, 99. So, the 10th term from the end is 90.
Therefore, the correct answer is (d) 10.