# What should be the next number in the following series? 100, 96, 104, 88, 120, 56,…?

Answer: The next number should be 136.

## Sequences and Series

Understanding patterns in sequences and series is a fundamental aspect of mathematics. This particular series alternates between subtracting and adding multiples of 8 (100-4×8, 96+8×8, 104-2×8, 88+4×8, 120-8×8). Following this pattern, the next operation would be adding 8×8 to 56, resulting in 136. Recognizing patterns and predicting the next number in a series is not only a key mathematical skill but also critical in various scientific and economic analyses where trends and forecasts are made based on historical data.

## FAQ on Sequences and Series

### What is an arithmetic series?

An arithmetic series is a sequence of numbers with a constant difference between consecutive terms.

### What is a geometric series?

A geometric series is a sequence where each term is found by multiplying the previous term by a constant.

### How do you find the nth term in a sequence?

The nth term can be found using the specific formula for the sequence, often involving the initial term and the common difference or ratio.