Respuesta :

gmany

[tex]\text{The explicit rule of geometric sequence}\\\\a_n=a_1 r^{n-1}\\------------------------------\\\text{We have the recursive form}\ a_1=4,\ a_n=\dfrac{1}{3}\cdot a_{n-1}.\\\\\text{Therefore}\ r=\dfrac{1}{3}.\ \text{Substitute:}\\\\\boxed{a_n=4\left(\dfrac{1}{3}\right)^{n-1}}[/tex]

brooklynhill150

Answer:

Anne found the 10th term of the following sequence. Her steps are shown below.

3, 7, 11, 15, …

1. common difference = 4, a1 = 3

2. an = 3 + (n - 1)4

3. an = 3 + 4n - 4

4. an = 4n - 1

5. a10 = 4(10) – 1

6. a10 = 39

Analyze Anne’s work. Is she correct? If not, what was her mistake?

Yes, she is correct.

No, she needed to find the common ratio because it is a geometric sequence.

No, she substituted the wrong values into the rule to find the equation that represented the sequence.

No, she solved for the 10th term incorrectly.

Step-by-step explanation:

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