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# Given a(n) = a + b(n - 1), find the value of a and b for the arithmetic sequence 3, 5, 7, 9, …?

To find the value of a and b of a given arithmetic sequence, we will use the equation for the nth term of an arithmetic progression.

## Answer: The value of a and b for the arithmetic sequence 3, 5, 7, 9, … are 3 and 2 respectively.

Let's find the answer for the given arithmetic sequence.

**Explanation: **

Given: The sequence is 3, 5, 7, 9, …

a(n) = a + b(n - 1)

According to the equation for the nth term of an arithmetic sequence, a is the first term in the sequence, and 'b' represents the difference between any two consecutive terms,

So, a = 3 and

b = 5 - 3 = 7 - 5 = 9 - 7 = 2

### Hence, the values of ‘a’ and ‘b’ for the arithmetic sequence 3, 5, 7, 9, … are 3 and 2 respectively.

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