An arithmetic sequence is a sequence in which the difference between any two consecutive terms of the sequence is equal. The number of term 107 is 17th.
What is Arithmetic Sequence?
An arithmetic sequence is a sequence in which the difference between any two consecutive terms of the sequence is equal.
a_n = a₁ + (n-1)r
where,
a_n is the nth term of the sequence,
a₁ is the first term of the sequence,
r is a common difference between every two terms.
Given the formula for the nth term of the arithmetic sequence is,
[tex]a_n = 11+6(n-1)[/tex]
Now, the number of term that 107 will be,
107 = 11 + 6(n-1)
96 = 6(n-1)
16 = n- 1
n =17
Hence, the number of term that 107 is 17.
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