Select the number from the given options to complete the series: 25, 30, 40, 55, 75, ___

Question

Accepted Answer

Let's analyze the series: 25, 30, 40, 55, 75, __

Find the differences between consecutive terms:
30 - 25 = 5
40 - 30 = 10
55 - 40 = 15
75 - 55 = 20

The differences are: 5, 10, 15, 20 (increasing by 5 each time).

The next difference should be 25 (20 + 5).
So, the next term = 75 + 25 = 100.

However, 100 is not marked as correct in the options. Let's check the pattern again.

Wait, let's check the options and the pattern:

Option 1: 105
Option 2: 85
Option 3: 80
Option 4: 100

If we continue the pattern of increasing differences by 5:

Previous differences: 5, 10, 15, 20
Next difference: 25
75 + 25 = 100

So, 100 should be the answer. But the answer key says 105 is correct. Let's check for another pattern.

Let's check the ratio:
30/25 = 1.2
40/30 ≈ 1.333
55/40 = 1.375
75/55 ≈ 1.364

No clear multiplicative pattern.

Let's try adding consecutive natural numbers:
25 + 5 = 30
30 + 10 = 40
40 + 15 = 55
55 + 20 = 75

So, the pattern is adding 5, 10, 15, 20, ...
Next should be 25: 75 + 25 = 100

Therefore, the correct answer is 100 (Option 4).

Answer

Answer

Answer