The fifth term is 162 in the geometric sequence.
What is geometric sequence?The geometric sequence defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
What is arithmetic sequence?A arithmetic sequence is defined as an arrangement of numbers which is particular order.
The formula to find the general term of an arithmetic sequence is,
aₙ = a₁ + (n-1)d
Given data :
First term of sequence geometric (a₁) = 2
The common ratio of geometric (r) = 3
To determine the fifth term of geometric sequence
Let the fifth term of sequence = a₅
The nth term of a geometric sequence is expressed as :
Tₙ = a₁rⁿ⁻¹
Substitute the values of n = 5, a₁ =2 and r = 3 in the formula,
T₅ = (2)(3)⁵⁻¹
T₅ = (2)(3)⁴
T₅ = (2)(81)
T₅ = 162
Hence, the fifth term is 162 in the geometric sequence
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Solving equations
2(x-4) = -4(2x+1)
Answer:
x=2
THAT IS ALL I KNOW SORRY
Step-by-step explanation:
Answer:
x = -1.2
Step-by-step explanation:
First distribute
2x + 8 = -8x - 4
next move variables to one side
2x + 8 = -8x - 4
+8x +8x
10x + 8 = -4
now get the variable by its self
10x + 8 = -4
-8 -8
10x = -12
/10. /10
x = -1.2
Find the missing side. Round to the nearest tenth.
X
16
20
Answer:
x = 58.47
Step-by-step explanation:
Use SOH CAH TOA
Sin(16) = 20/x
x = 58.47
apple's cost 3.60 for 3 pound how much pounds for 8.40$
Answer:
7 pounds.
Step-by-step explanation:
3.60 for 3 pounds
1.20 per pound.
8.40/1.20 = 7 pounds
1. The value of (301)^2 – (300)^2 is
ratios equivalent to 10:9.
Answer:20:18
Step-by-step explanation:
Answer:
111. Also, 5:3
Step-by-step explanation:
yw
-3x + 12 = -36
solve for x
Answer:
x=16
Step-by-step explanation:
-3x+12=-36
-12 | -12
-3x=-48
/-3 | /-3
x=16 because the negatives cancel out eachother so it would be x=48/3 and 48/3=16
Solve 2x^2+8x-1=0 can someone type this "correctly" in photo math for me please?
Answer:
Step-by-step explanation:
Describe a congruence transformation.
HELPPPPPPPPPPPPPPPPP
Answer: We can't see the picture
Step-by-step explanation:
Write the slope-intercept form of the equation of the line passing through the point (5, - 1) and parallel to the line y = 4x - 1
Step-by-step explanation:
hope this solution will help you
Evaluate (3n + 2) – 10 when n = 3.
First, evaluate within the parentheses. Then evaluate exponents. Next, multiply and divide from left to right. Then, add and subtract from left to right.
Evaluate the expression for the given value of the variable and use the drop-down menus to complete the statements.
Substitute the given value for the
.
Use the
to simplify.
First, complete the
inside the parentheses.
Next, complete the
inside the parentheses.
Last, complete the subtraction.
The value is
.
Answer:
1
Step-by-step explanation:
(3x3-2)-10=(9+2)-10=11-10=1
Answer:
The value is 1.
Step-by-step explanation:
(3n + 2) – 10
(3(3) + 2) – 10
9+2-10
11-10
1
These questions are the worst
Answer:
yes.. i HATE them!!
ur answer is: either C or D
(not sure..)
8(4x+6) -58 = 2(7x+31) helpppppppppppppppp
Step-by-step explanation:
8(4x+6) -58 = 2(7x+31)
32x + 48 - 58 = 14x + 62
32x -10 = 14x +62
32x - 14x = 62+10
18 x = 72
x = 72 /18
x = 4
plz mark my answer as brainlist plzzzz vote me also so ....plzzzz
has a business selling perfume at the mall. Currently his business has a
balance of -$20.
Which amounts of sales would give Mason's business a positive balance?
Choose ALL that apply.
$29
$19
$21
$30
$35
$15
Answer:
$29, $21, $30, $35
Step-by-step explanation:
the amounts had to be larger than $20 because he owes money and needs more inorder to have gained money
A triangle has one side that measures 5 units and another side that
measures 7 units. What are two possible lengths for the third side?
Explain why you chose the lengths you did.
Answer:
see explanation
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is between the limits
difference of 2 sides < x < sum of 2 sides, that is
7 - 5 < x < 7 + 5 , then
2 < x < 12
Choose any 2 values between 2 and 12 as third side, so
third side could be 6 or 9 for example
All truck travels 2,400 m in 60 hours, going the same distance each hour. How many miles does the truck travel each hour?
Answer:
The truck travels 40 miles per hour.
Step-by-step explanation:
You can use proportion to solve this.
[tex] \frac{2400 \: miles}{60 \: hours} = \frac{x}{1 \: hour} \\ \\ \frac{60x}{60} = \frac{2400}{60} \\ \\ x = 40[/tex]
5{ 10 [6 + 9 ( 57 - 48 ) + 12]}
Answer:
230
Step-by-step explanation:
Nora has nn nickels and dd dimes. She has a minimum of $2 worth of coins altogether. Write this situation as an inequality.
Answer:
0.05nn + 0.10dd ≥ 2
*make sure it is either n or nn depending whether you had a typo in problem*
Step-by-step explanation:
First each nickel is worth 0.05
each dime is 0.10
and we must have a minimum so the total value has to be at least $2
so 0.05nn + 0.10dd ≥ 2
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Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
QN = 17
JQ = 2*QN
JQ = 2* 17
JQ = 34
what ius the symoble for iron
Answer:
fe
Step-by-step explanation:
- 6x+5
A. (x + 5)(-1)
B. (x-4)(x-2)
C. (x + 4)(x-2)
D. (x - 5)(x-1)
every choice except A quadratic questions
You will get the degree of the polynomial by adding the exponent of the variable include in the polynomial.
True
False
Answer:
Step-by-step explanation:
THe answer is true
answer correctly please and you will get brainliest
Answer:
2.25
Step-by-step explanation:
If you divide any of the bigger numbers on the bottom by the bigger numbers on top, you would get 2.25 no matter what.
Find the slope of the line 0,-19 20,15
What is 5(pi) /6 radians converted to degrees? If necessary, round your answer to the nearest degree
ANSWER IS 150 DEGREES
Answer:
C
Step-by-step explanation:
By converting radians 5π /6 into a degree, we get the nearest degree 150.
How to convert radians into a degree?
We can convert radians into a degree by using the formula
Degree = Radians x (180°) / π
To 5π /6 convert radians into a degree,
Degree = Radians x (180°) / π
Degree = 5π /6 x (180°) / π
= 5 /6 x (180°)
= 150°
Learn more about Degree;
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Which expression uses the greatest common factor and the distributive property to write the sum 36 1 54 as a product? A 6(6 1 9) B 9(4 1 6) C 18(2 1 3) D 27(9 1 27)
9514 1404 393
Answer:
C 18(2 + 3)
Step-by-step explanation:
The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...
36 + 54 = (18·2 + 18·3) = 18(2 + 3) . . . . matches choice C
PLEASE HELP!!!!! :(
Answer:
since you have so much answers already ill just say E
Step-by-step explanation:
Answer: There is no solution
which point is the incenter of angle DEF
Evaluate the expression below when x = 5.5 and y = 6. 4(x+6)−3(y+4)
Answer:
16.4
Step-by-step explanation:
4(5.5 + 6) - 3(6 + 4)
4(11.6) - 3(10)
46.4 - 30
16.4
Answer:
The answer is 16.
Step-by-step explanation:
4(x+6)−3(y+4)
=4x+24-3y-12
=4(5.5)+24-3(6)-12
=22+24-18-12
=46-30
=16
Sugar and flour are mixed in the ratio 3.5 in a sweet recipe in another recipe 15 parts of flour are used if these two ingredeints on both recipes are in both recipes are an equivalent ratio
Answer: 9
Step-by-step explanation:
Here is the completed question.
Sugar and flour are mixed in the ratio 3:5 in a sweet recipe. In another recipe, 15 parts of flour are used. If these two ingredients in both recipes are in an equivalent ratio, how many parts of sugar should be used?
Ratio of sugar and flour = 3:5
Since 15 parts of flour are used, the parts of sugar that should be used will be:
= 15 ÷ 5/3
= 15 × 3/5
= 3 × 3
= 9