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3 years ago

Find the 6th term of the following geometric sequence: 2, 8, 32, 128, ...

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

8 0

Answer: 2048

Step-by-step explanation: u have to multiply each term by 4

Nadusha1986 [10]3 years ago

3 0

Answer:

Step-by-step explanation:

t1 = 2= 2 * 4 ^ 1 -1

t2 = 8= 2* 4^2-1

t3 = 32= 2 * 4^3 -1

t4 = 128 = 2* 4^ 4 -1

----------------------------

tn = 2 * 4^ (n - 1)

Now

the 6th term of the sequence is

t6 = 2 * 4^ 6 -1

= 2 * 1024

= 2048

hope it was helpful.

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What is 3 1/2 multiplied by 2 1/4 as a mixed number or fraction

Nataly [62]

Hey there!

$3\frac{1}{2}$ × $2\frac{1}{4}$

$3\frac{1}{2}$ = $\frac{7}{2}$

$2\frac{1}{4}$ = $\frac{9}{4}$

$\frac{7}{2}$ × $\frac{9}{4}$

$7\times9 = 63$

$2\times4 = 8$

$\boxed{Answer: \frac{63}{8} ; 7\frac{7}{8} }$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:)}$

7 0

3 years ago

Read 2 more answers

A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and stan

Galina-37 [17]

Answer:

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = 0.1251

Step-by-step explanation:

Step(i):-

Given mean of the Population = 25cm

Given standard deviation of the Population = 2.60

Let 'x' be the random variable in normal distribution

Given x=22

$Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15$

Step(ii):-

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = P( Z<-1.15)

= 1-P(Z>1.15)

= 1-( 0.5+A(1.15)

= 0.5 - A(1.15)

= 0.5 - 0.3749

= 0.1251

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = 0.1251

7 0

3 years ago

Divide. −4 1/3 ÷ −2 3/5 A. 1 2/3 B. 1 4/5 C. 2 1/5 D. 2 3/5

Inga [223]

a. $1 \frac{2}{3}$

trust me it's the correct answer :)

7 0

3 years ago

If the number of bacteria in a colony doubles every 25 hours and there is currently a population of 10,000 bacteria, what will t

MA_775_DIABLO [31]

Answer:

The population of 75 hours from now would be 40,000.

Step-by-step explanation:

The reason for this is because your initial number is 10,000 and when 25 hours pass by, your population would be 20,000. Another 25 hours pass by, and then your population would be 40,000. If you multiply 25 by 3, you will notice 75 hours have just passed, so your answer would be 40,000.

5 0

3 years ago

9x - 4/x = 3. How to solve this? What is the value of x?

Ket [755]

9x-4/x=3 ok first lets get the like terms together! So 9x+1x=10x rewrite 10x-4=3 add 4 to both sides 10x=7 then divide 10 7/10=.7 x=.7
Or you can do it this way
9x-4/x=3 combine like terms so times -4 to both sides 3*-4=-12 rewrite 9x+x=-12 combine like term (still got some) 9x+1x=10x rewrite 10x=-12 divide 10 to both sides -12/10=-1.2 rewrite x=-1.2 (I'm like 95% sure it's this one) hope this helps!!! Have a nice nite (Don't be afraid to ask me about details on this or another question)!!!

7 0

3 years ago