Find the next term of the series.
4, 8, 28, 80, 244, ?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 728
The pattern is \( 3^n \) alternating between adding 1 and subtracting 1 as n increases, starting with n=1 and adding 1.
4 = \( 3^n \) + 1
8 = \( 3^2 \) - 1
28 = \( 3^3 \) + 1
80 = \( 3^4 \) - 1
244 =\( 3^5 \) + 1
To find the next term, which would correspond to n=6, we follow the alternating pattern:
Next term = \( 3^6 \) - 1
= 729−1
= 728