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Firlakuza [10]
3 years ago
7

What is the recursive formula for the geometric sequence with this explicit formula

Mathematics
2 answers:
dedylja [7]3 years ago
8 0

Answer:

a_n = a_{n-1} \cdot (-\frac{1}{3})

Step-by-step explanation:

The explicit formula for the geometric sequence is given by:

a_n = a_1 \cdot r^{n-1}

where,

a_1 is the first term

r is the common ratio to the following terms.

As per the statement:

Given the explicit formula for geometric sequence:

a_n = 9 \cdot (\frac{-1}{3})^{n-1}

On comparing with [1] we have;

a_1 = 9 and r = -\frac{1}{3}

The recursive formula for geometric sequence is given by:

a_n = a_{n-1} \cdot r

Substitute the given values we have;

a_n = a_{n-1} \cdot (-\frac{1}{3})

Therefore, the recursive formula for the geometric sequence is, a_n = a_{n-1} \cdot (-\frac{1}{3})

Arisa [49]3 years ago
4 0

Answer:

a_0 = -27

a_n = a_(n-1) * (-1/3)

Step-by-step explanation:

First evaluate given formula at n=0 and specify that as starting value

Then find how to get from n-1 to n by comparing two values. In this case the next value is formed by multiplying by -1/3.


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Peter is 13 years old peters father is 6 years more than twice her age. how old is Peter's father​
ZanzabumX [31]

Answer:

32 years old.

Step-by-step explanation:

13 times 2 is 26, and 6 added to 26 is 32.

I hope this helps, have a nice day.

4 0
2 years ago
The measure of angle R is 148° and the measure of angle S is 85°, find the measure of angle T.
Talja [164]

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8 0
2 years ago
Lena's engagement ring has a radius of 9 millimeters. What is the ring's circumference? Use 3.14 for ​
scoray [572]

Answer:

Given - Radius of ring is 9 millimeters

To find - Circumference

Solution -

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4 0
3 years ago
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Delvig [45]

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Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Solve for the positive value of x: 6x2 – 54 = 0
n200080 [17]
If you would like to solve for the positive value of x, you can do this using the following steps:

6 * x^2 - 54 = 0      /6
x^2 - 9 = 0
(x - 3) * (x + 3) = 0
1. x = 3
2. x = - 3

The correct result would be x = 3.
4 0
3 years ago
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