Find the Nth term of the following                 1. 1,5,9 13,… 27th term                                2.  20, 15, 10,… 66th term                         3. 100, 92, 84, … 48th term                     4. 7, 14, 21,… 89th term                             5. 1, 1/2, 0,… 16th term

To find the \( N \)th term of each sequence, we'll use the formula for the \( N \)th term of an arithmetic sequence:

\[
a_N = a_1 + (N-1) \cdot d
\]

Where:
- \( a_N \) is the \( N \)th term,
- \( a_1 \) is the first term,
- \( d \) is the common difference between the terms,
- \( N \) is the position of the term in the sequence.

Let's solve each one.

### 1. Sequence: 1, 5, 9, 13, …
- **First term \( a_1 = 1 \)**
- **Common difference \( d = 5 - 1 = 4 \)**
- **To find the 27th term (\( N = 27 \))**:

\[
a_{27} = 1 + (27 - 1) \cdot 4 = 1 + 26 \cdot 4 = 1 + 104 = 105
\]

**The 27th term is 105.**

### 2. Sequence: 20, 15, 10

Discover how to find the Nth term of arithmetic sequences with detailed step-by-step solutions. This problem covers arithmetic sequences and the Nth term formula, providing specific solutions for each sequence given, from the 27th term of 1, 5, 9, 13, … to the 66th term of 20, 15, 10, … Suitable for Grades 7-9.

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