Explanation

The series is just + 2 then * 2

3+2 = 5

5*2 = 10

10+2 = 12

12*2 = 24

24 +2 = 26

26*2= 52

Explanation

Explanation

GP series = 4, 8, 16, 32, ... 512.

FORMULA USED:

Tn = ar(n-1)

SOLUTION:

GP series = 4, 8, 16, 32, ... 512.

Tn = ar(n-1)

⇒ 512 = 4 × 2(n - 1)

⇒ 128 = 2(n - 1)

⇒ 27 = 2(n - 1)

Now comparing powers we obtain;

⇒ n - 1 = 7

⇒ n = 8

Explanation

The pattern of the series appears to be square numbers:

• 1 = 1^2
• 9 = 3^2
• 25 = 5^2
• 49 = 7^2
• 81 = 9^2
• 121 = 11^2

So, the correct completion of the series would be:

1, 9, 25, 49, 81, 121

Explanation

The pattern in the series is a decrease of 4, 8, 4, 2, ... (alternating between subtracting 4 and 8, then decreasing the subtraction by 2 each time).

Therefore, the next number in the series would be:

• 64 - 16 (4 + 8 + 4) = 48
• 48 - 8 (4 + 4) = 40
• 40 - 4 (4) = 36
• 36 - 2 (2) = 34
• 34 - 1 (1) = 33

So, the correct answer is: 33