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2 years ago

What is the fifth term of the geometric sequence a1=120, a2=36, a3=10.8, a6=0.2916?

2 answers:

7 0

The formula for geometric sequence is an = a1 r^(n-1) where r is the geometric factor and n is an interger. In the sequence given, r is equal to 3/10. In this case, an = 120* (3/10)^(n-1). Solving for a5, a5 = 120* (3/10)^(5-1) = 0.972

iragen [17]2 years ago

5 0

First we need to find the common ratio by dividing the second term by the first term. 36/120 = 3/10

an = a1 * r^(n-1)
n = term to find = 5
a1 = first term = 120
r = common ratio = 3/10
now we sub and solve
a5 = 120 * 3/10^(5 - 1)
a5 = 120 * 3/10^4
a5 = 120 * .0081
a5 = 0.972 <=== fifth term

or we could have just done this......since we multiply by 3/10 to find the next number...
a3 = 10.8......10.8 * 3/10 = 3.24 <== 4th term
3.24 * 3/10 = 0.972 <== fifth term

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Solve for p 8/9 12/p

siniylev [52]

8/9 = 12/p multiply by p on both sides
(8/9)p = 12 distribute p
8p/9 = 12 multiply by 9 on both sides
8p = 108 divide by 8
p = 108/8 simplify
p = 27/2

4 0

2 years ago

Evaluate the function f(-2) - h(4) given the following functions: f(x) = 4x 2+ 9 h(x) = 3x - 14

Goryan [66]

Answer:

-86

Step-by-step explanation:

simplify each equation as much as possible

f(x)= 4x(2+9) add

4x(11) multiply

f(x)=44x

substitute given numbers into each equation

44(-2)=-88 3(4)-14= 12-14=-2

combine equations

-88-(-2)= -86 add since you are subtracting a negative number

4 0

2 years ago

What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%2A%2081" id="TexFormula1" title="\frac{2}{3} * 81" alt="\frac

Vaselesa [24]

Hello!

<u><em>Answer: ⇒⇒⇒⇒⇒⇒⇒ =54</em></u>

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Step-by-step explanation:

First you had to convert element to fraction.

$\frac{2}{3}*\frac{81}{1}$

Then you had to cross out by the common factor of 3.

$\frac{2}{1}=\frac{27}{1}$

Multiply by the fraction.

$\frac{2*27}{1*1}$

Multiply by the number.

$2*27=54$

$=\frac{54}{1*1}$

Again multiply by the number.

$1*1=1$

$=\frac{54}{1}$

Apply rule.

$\frac{54}{1}=54$

54 is the right answer.

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4 0

3 years ago

What the answer please help me i need it now I’ll mark brainleist.

Vesna [10]

Answer:

Step-by-step explanation:

slope is -7

5 0

2 years ago

Read 2 more answers

Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g

olchik [2.2K]

If $x$ is the first number in the progression, and $r$ is the common ratio between consecutive terms, then the first four terms in the progression are