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Wittaler [7]
3 years ago
15

Find the 8th term of the geometric sequence, given the first term and common ratio. a1=6 r=-1/3

Mathematics
1 answer:
Damm [24]3 years ago
8 0

The rule of a geometric sequence:

a_n=a_1r^{n-1}

We have:

a_1=6;\ r=-\dfrac{1}{3}

Find a_8=?\to n=8

substitute:

a_8=6\cdot\left(-\dfrac{1}{3}\right)^{8-1}=6\cdot\left(-\dfrac{1}{3}\right)^7=6\cdot\left(-\dfrac{1}{2187}\right)=-\dfrac{2}{729}

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Molly's jump rope is 6 1/3 feet long. Gail's jump rope is 4 2/3 feet long. How much longer is Molly's jump rope?
yaroslaw [1]
If you would like to know how much longer is Molly's jump rope, you can calculate this using the following steps:

6 1/3 feet long - 4 2/3 feet long = 6 1/3 - 4 2/3 = 19/3 - 14/3 = 5/3 = 1 2/3

The correct result would be 1 2/3 feet longer.
4 0
3 years ago
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Two step equation with the solution of 5 ..
disa [49]

Answer:

2 times 7, 14-9

Step-by-step explanation:

2 times 7 = 14

14-9=5

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Evaluate the expression: 16P4
Tju [1.3M]

The expression 16p⁴ will be written as (2p)⁴.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

16p⁴  = ( 2 x 2 x 2 x 2)p⁴

16p⁴  = 2⁴ x p⁴

16p⁴  = ( 2p )⁴

Therefore, the expression 16p⁴ will be written as (2p)⁴.

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8 0
2 years ago
angle 1 and angle 2 are a linear pair . m angle 1 =x-39 and m angle 2 =x+61 find the measure of each angle
lora16 [44]

Answer:

m(angle1)=79-39=40

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Step-by-step explanation:

m(angle1)+m(angle2)=180

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x=79

m(angle1)=79-39=40

m(angle2)=79+61=140


8 0
3 years ago
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