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Which term of the arithmetic progression 7, 11, 15, 19,.....?
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Which term of the arithmetic progression 7, 11, 15, 19,.....?
Identifying the Arithmetic Progression:
The given sequence is 7, 11, 15, 19,...

Calculating the Common Difference:
To find the common difference in an arithmetic progression, we subtract the first term from the second term: 11 - 7 = 4. Therefore, the common difference is 4.

Finding the nth Term:
The nth term of an arithmetic progression is given by the formula:
\[a_n = a_1 + (n-1)d\]
where \(a_n\) is the nth term, \(a_1\) is the first term, \(n\) is the term number, and \(d\) is the common difference.

Substituting the Values:
In this case, the first term \(a_1\) is 7, and the common difference \(d\) is 4. We need to find the term number \(n\) for which we want to find the term.

Calculating the Term Number:
Let's assume we want to find the 10th term. Substituting the values into the formula:
\[a_{10} = 7 + (10-1) \times 4\]
\[a_{10} = 7 + 9 \times 4\]
\[a_{10} = 7 + 36\]
\[a_{10} = 43\]

Answer:
Therefore, the 10th term of the arithmetic progression 7, 11, 15, 19,... is 43.
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Which term of the arithmetic progression 7, 11, 15, 19,.....?
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