The 37th term of the sequence is 110.
What is an arithmetic sequence?
An arithmetic sequence is defined as an arrangement of numbers which is a particular order.
The formula to find the general term of an arithmetic sequence is,
Tₙ = a₁ + (n-1)d
In arithmetic, sequence d represents the common difference.
Where aₙ is the nth term of the sequence and a₁ is the first term.
Given that the sequence as 2, 5, 8, 11, 14, . . .
Here the first term is 2.
a₁ = 2
So, the common difference = 5 - 2 = 3
d = 3
To determine the 37th term of the sequence
Tₙ = a₁ + (n-1)d
Substitute the values of n = 37, a₁ = 2, and d = 3 in the formula of arithmetic sequence
T₃₇ = 2 + (37-1)3
T₃₇ = 2 + (36)3
T₃₇ = 2 + 108
T₃₇ = 110
Hence, the 37th term of the sequence is 110.
Learn more about arithmetic sequence here:
brainly.com/question/21961097
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