The tenth term of the arithmetic sequence will be 15. Then the correct option is A.
Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as
[tex]\rm a_n = a_1 + (n - 1)d[/tex]
We have
a₇ = 6
d = 3
n = 7
Then the first term will be
a₇ = a₁ + (7 – 1)3
6 = a₁ + 18
a₁ = 6 – 18
a₁ = -12
Then the 10th term will be
a₁ = -12
d = 3
n =10
Then we have
a₁₀ = -12 + (10 – 1)3
a₁₀ = -12 + 27
a₁₀ = 15
Then the tenth term of the arithmetic sequence will be 15.
Then the correct option is A.
More about the arithmetic sequence link is given below.
https://brainly.com/question/15412619
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