MATHEMATICS HIGH SCHOOL

What is the tenth term of the geometric sequence 3, 6, 12, 24, 48, … ?

Answers

Answer 1
Answer:

Answer: Value of tenth term of the geometric sequence is 1536.

Step-by-step explanation:

Since we have given that

3, 6, 12, 24, 48, …

Since it is a geometric sequence.

So, here ,

a = first term = 3

r= common ratio is given by

r=(a_2)/(a_1)\n\nr=(6)/(3)\n\na=2

We need to find the tenth term of the geometric sequence.

As we know the formula for "nth term ":

a_n=ar^(n-1)\n\nHere,\ n=10\n\na_(10)=3* 2^(10-1)\n\na_(10)=3* 2^(9)\n\na_(10)=3* 512\n\na_(10)=1536

Hence, Value of tenth term of the geometric sequence is 1536.
Answer 2
Answer: You multiply each number by 2 until you get to the tenth term 3*2=6*2=12*2=24 until the tenth term 1,536

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7p+8p-12=59 ( find the p)

Answers

Hello, lets solve this!

\sf 7p+8p-12=59\n\n\sf Add~like~terms}\n\n15p - 12=59\n\nAdd~12~on~both~sides\n\n15p -12 + 12 = 59 + 12\n\n15p = 71\n\nDivide~15~on~both~sides\n\n\boxed{\bf{p = (71)/(15) = 4.73333333}}

Hope I helped! If you have any other qestions or would like further explantion just let me know!! :)
Combine like terms first.
7p+8p=15p
15p-12=59
Now add 12 from both sides.
15p=71
Now divide both sides by 15.
p=4.7333333333

Hope this helps!

at trace state park in mississippi, there is a 40 mile mountain bike trail. tommy rode 1/2 of the trail on saturday and 1/5 of the trail on sunday. he estimates that he rode more than 22 miles over the two days. is tommy's estimate reasonable?

Answers

Yes it is reasonable because he rode half of the trail on Saturday which was 20 miles, then 1/5 of the trail on Sunday which was 8 miles for a total of 28 miles. Thus he rode more then 22 miles over the two days and making his estimate plausible. 

Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer)A) 33
B) 34
C) 38
D) 45

Answers

the answer is D if you count both of the long sides it will give you 21 each and 5 on the short side so that would give you 47 is the preimeter so D is the closest.

Help needed please.........

Answers

this is slope!!is it true???????

Three vertices of a square have coordinates (5, 1), (2, -2), and (-1, 1). What are the coordinates of the fourth vertex?

Answers

plot the points
we notice that the square is tilted diagnaol

remember that the legnths of the diagonals of a square are equal


therefor the distance between the points (5,1) and (-1,1) is the same as the ohter diagonal (distance is 6)

the other point is probably that disance up or the y vairable
(2,-2)+6 on the y
-2+6=4
(2,4)
answer is (2,4)

What is the value of x in this equation? 2x + 2 = -46

Answers

Answer:

x = -24

Step-by-step explanation:

1. Subtract 2 from -46 to cancel out the addition. 2x = -48

2. Divide both sides by 2. x = -24
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