Question

What is the explicit formula for the sequence. -8. ,-3,2,7..... A. an=12+(n-1)5. B.an=-8+(n-1)5. C.an=-8+(n-1)(-5) D.an=5+(n-1)(-8)

Answer 1

What is the explicit formula for the sequence. -8. ,-3,2,7..... A. an=12+(n-1)5. B.an=-8+(n-1)5. C.an=-8+(n-1)(-5) D.an=5+(n-1)(-8)

Answer 2

Answer: B) an=-8+(n-1)5

Step-by-step explanation: The explicit formula for a sequence, will be the one that corresponds to the numbers of the sequence. From the given options, the one that represents the given sequence, is the corresponding to option B, we can verify that by calculating the first terms and comparing them to the given ones:

an=-8+(n-1)5

a1=-8+(1-1)5=-8+(0)5=-8

a2=-8+(2-1)5=-8+(1)5=-3

a3=-8+(3-1)5=-8+(2)5=2

a4=-8+(4-1)5=-8+(3)5=7

as we can see, all the numbers match with the given sequence.