The a(38) term is 73 if the sequence is an arithmetic sequence with a common difference 2 and the first term is -1.
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
A sequence is given:
-1, 1, 3, 5, 7
The above sequence represents an arithmetic sequence:
The common differences:
d = 1 -(-1) = 3 - 1 = 2
The first term a = -1
The nth term:
a(n) = a + (n- 1)d
a(n) = -1 + (n- 1)(2)
a(n) = -1 + 2n- 2
a(n) = 2n - 3
To find a(38) plug n = 38 in the nth term:
a(38) = 2(38) - 3
a(38) = 76 - 3
a(38) = 73
The a(38) term is 73.
Thus, the a(38) term is 73 if the sequence is an arithmetic sequence with common difference 2 and the first term is -1.
Learn more about the sequence here:
brainly.com/question/21961097
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