1+6+12+18 Bare stranded class  2 copper conductor

Formula for the Given Sequence: 1, 6, 12, 18, 24, ...

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Step 1: Identify the Differences 
The given sequence: 
1, 6, 12, 18, 24, ... 

Finding the differences between consecutive terms: 
6 - 1 = 5
12 - 6 = 6
18 - 12 = 6
24 - 18 = 6
 
The first difference is 5, followed by a constant difference of 6.

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Step 2: Finding the General Formula 
The general term formula for a sequence is usually given as: 
a_n = a_1 + ∑ d_n 

Where: 
- a_1 = 1 (first term) 
- d_n follows a pattern: first 5, then 6 repeatedly. 

From this, we derive the general formula: 
a_n = 1 + 5 + 6(n - 2) 

Simplifying: 
a_n = 6n - 5 

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Step 3: Verification 
Checking if the formula correctly generates the sequence: 

a_1 = 6(1) - 5 = 1
a_2 = 6(2) - 5 = 6
a_3 = 6(3) - 5 = 12
a_4 = 6(4) - 5 = 18
a_5 = 6(5) - 5 = 24
 

Since the formula matches the given sequence, it is verified.

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Final Formula 
The general formula for the sequence is: 
a_n = 6n - 5