Find the next missing term for the given series: 1. 25, 28, 23, 30, 21, ? = 32 2. 4, 8, 16, 32, ?

Let's analyze the patterns in each series step-by-step:

Series 1: 25, 28, 23, 30, 21, ?
To find the pattern, we observe how the terms change:

From 25 to 28, an increase of 3.
From 28 to 23, a decrease of 5.
From 23 to 30, an increase of 7.
From 30 to 21, a decrease of 9.

The pattern shows an alternating increase and decrease. The amount changes are in an increasing odd number sequence: 3, 5, 7, 9...
Next, we predict the jump from 21 by following the pattern:

The next change should be an increase of 11.
So, 21 + 11 = 32.

Therefore, the missing term is 32 .

Series 2: 4, 8, 16, 32, ?
Let's look for a pattern:

From 4 to 8, the numbers are multiplied by 2.
From 8 to 16, again multiplied by 2.
From 16 to 32, once more, multiplied by 2.

The pattern involves multiplying by 2 in each step.
Apply the same multiplication to the last number:

32 x 2 = 64

Therefore, the next term in the series is 64 .


By analyzing each pattern carefully, we identified the next terms in both series: 32 for the first series, and 64 for the second series.

Answered by AvaCharlotteMiller | 2025-07-22