Question

Find the arithmetic means in the given sequence. 175, ?, ?, ?, 235 a. 185, 195, 205 c. 220, 205, 190 b. 195, 215, 225 d. 190, 205, 220 Please select the best answer from the choices provided A B C D

Answer 1

Explanation:

To find the arithmetic means in the given sequence, we need to determine the missing numbers between 175 and 235.

Let's calculate the differences between consecutive terms:

1st difference: 235 - 175 = 60

2nd difference: (Next number) - (Previous number) = (Next number) - 235

Since the differences are constant, we can add the same value to each term to find the missing numbers.

Let's calculate the missing numbers using the 1st difference:

175 + 60 = 235

175 + 60 + 60 = 295

175 + 60 + 60 + 60 = 355

Now we have the complete sequence: 175, 235, 295, 355.

To find the arithmetic means, we take the average of consecutive terms:

1st arithmetic mean: (175 + 235) / 2 = 205

2nd arithmetic mean: (235 + 295) / 2 = 265

3rd arithmetic mean: (295 + 355) / 2 = 325

Among the given choices, the correct answer is:

c. 220, 205, 190

This answer represents the correct sequence of arithmetic means between 175 and 235.