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Pepsi [2]
3 years ago
12

What is the explicit formula for this geometric sequence?

Mathematics
1 answer:
Kamila [148]3 years ago
5 0

Answer:

<h2>(-6)×3ⁿ⁻¹</h2>

Step-by-step explanation:

We notice that in this sequence (an) we multiply by 3 each time to get the next term

e.g :  (-6)×3 = -18

then

the commonn ratio q = 3

the first term a1 = -6

the explicit formula :

an = a1×qⁿ⁻¹ = (-6)×3ⁿ⁻¹

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19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their p
Lyrx [107]

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

5 0
2 years ago
If y varies jointly with x and z, and y = 200 when x = 8 and z = 10, what is x when y = 165 and z = 11?
vova2212 [387]

Answer:

The answer is 2.5

The next blank is 6

8 0
3 years ago
Read 2 more answers
2. What is an equation line that pass-cs through the point (3,-1) and h (4)
joja [24]
Y=mx+b
m=slope
b=y intercept
we are given (3,-1)
one solution is x=3 and y=-1 or
when x=3 then  y=-1
also slope=2
so
y=2x+b
subsitue 3 for x and -1 for y and solve for b
-1=2(3)+b
-1=6+b
subtract 6
-7=b

y=2x-7 is equation


answer is number 4
5 0
3 years ago
Find the shaded area, please help ty (Geometry)
baherus [9]

Answer:

The area of whole square is 396 sq mm

the area of triangle  = 99

396 - 99 = 297 sq mm

Answer - 297

7 0
3 years ago
Francesca wants to convert 1 meter to feet. Use what you know about customary measures to explain how she could do this.
Volgvan
Turn the feet into meters 1 meter = 100cm and if there is 12cms in a foot than divide 100cm by 12cm and you get 8.3ft
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