Explanation

To find the geometric mean, we need to multiply the numbers together and then take the nth root, where n is the number of values.

In this case, we have 4 numbers: 1, 2, 8, and 16.

First, multiply them together:

1 × 2 × 8 × 16 = 256

Then, take the 4th root (since there are 4 numbers):

256^(1/4) = 4

So, the geometric mean is 4.

Explanation

Explanation

Step 1: Identify the pattern

Find the differences between consecutive terms:

• 21 - 20 = 1
• 20 - 18 = 2
• 18 - 15 = 3
• 15 - 11 = 4

The pattern of differences is: +1, +2, +3, +4

Step 2: Find the next difference

• The next difference should be +5
• 11 - 5 = 6

Explanation

Explanation

Explanation

When 9 is multiplied by any number, the sum of the digits in the product is always 9.

Examples:

- 9 × 1 = 9 (sum of digits: 9)

- 9 × 2 = 18 (sum of digits: 1+8 = 9)

- 9 × 3 = 27 (sum of digits: 2+7 = 9)

- 9 × 4 = 36 (sum of digits: 3+6 = 9)

And so on. This property holds true for all multiples of 9.

Explanation

Explanation

Talkative and Loquacious both mean someone who talks a lot.

Talkative means بات کرنے والا

Loquacious means بات کرنے والا

Explanation

The pattern follows a sequence where each number decreases by 3:

• 37 - 3 = 34
• 34 - 3 = 31
• 31 - 3 = 28
• 28 - 3 = 25

So, the next number in the pattern is 25.