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A day full of math games & activities. Find one near you.
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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