Question

360, 180, 90, 45, 22.5, ?

• A. 15
• B. 11.25
• C. 20
• D. 10.5

Hint:

GP: divide by 2 each time.

Answer 1

The Correct Option is B

The given sequence is 360, 180, 90, 45, 22.5, ?. To determine the pattern followed in this sequence, observe the ratio between successive terms:

1. The first term is 360.
2. The second term is 180. \(360 \div 2 = 180\). Here, the first term is divided by 2.
3. The third term is 90. \(180 \div 2 = 90\). The second term is also divided by 2 to give the third term.
4. The fourth term is 45. \(90 \div 2 = 45\). The third term is divided by 2.
5. The fifth term is 22.5. \(45 \div 2 = 22.5\). Again, the fourth term is divided by 2.

From this pattern, it's clear that each term is obtained by dividing the previous term by 2. Hence, to find the next term in the sequence, simply divide 22.5 by 2.

Perform the division:

\(22.5 \div 2 = 11.25\)

Therefore, the next term in the sequence is 11.25.

This matches with the given answer option 11.25.