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Vinvika [58]
3 years ago
9

A student is attempting to find a formula for the sequence below. Which statement best applies to the sample mathematical work?

Mathematics
2 answers:
monitta3 years ago
7 0
The sample is a geometri sequencethe ratio = -9 / 3 = -3= 27 / -9 = -3so it is clearly a geometric sequencethen the formula of a geometric sequence:
an = ar^(n-1)where an is the n terma is the initial termr is the rationn is the number of term
an = 3(-3)^(n-1)is the answer
Sunny_sXe [5.5K]3 years ago
4 0

Answer:

Answer : B

Step-by-step explanation:

Our sequence is 3,-9,27,........This is a geometric sequence. whose first terms is 3 which is generally denoted by "a" .The common ratio is find out by taking the ration of second term to the first term. In this case it would be ,

r=\frac{-9}{3}

Hence r=-3  

Now the formula for the nth term of any geometric sequence is given as

a_{n} = ar^{n-1}

Hence we now replace the value of  a and r  in this to find the right answer which is

a_{n} = 3(-3)^{n-1}

Hence B option is correct as the first term is not taken into the account in this answer.

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