3 years ago

A geometric sequence is shown on the graph below. What is the formula for the nth term of the sequence?

Mathematics

1 answer:

tia_tia [17]3 years ago

8 0

Answer:

aₙ = 40*(1/2)ⁿ⁻¹

Step-by-step explanation:

As per graph we have:

a₁ = 40, a₂ = 20, a₃ = 10, a₄ = 5, a₅ = 2.5

So the first term is 40 and common ratio is

20/40= 10/20 = 5/10 = 2.5/5 = 1/2

Formula for nth term is:

aₙ = a₁rⁿ⁻¹

aₙ = 40*(1/2)ⁿ⁻¹

You might be interested in

(4a) to the third power divided by (b-2) ; a=2 and b=4

Bingel [31]

(4(2)=8*8*8=512÷6=85.333333
(4-2)=2
8-2=6
8*2=16
8÷2=4
8+2=10
whichever operation it is

7 0

2 years ago

The graph of f(x) = x2 is shifted 3 units to the right to obtain the graph of g(x). Which of the following equations best descri

alexgriva [62]

Answer:

$g(x)=(x+3)^2$

Step-by-step explanation:

$f(x) = x^2$

The graph is shifted 3 units to the right

$(x+3)^2$

$g(x)=(x+3)^2$

5 0

3 years ago

Read 2 more answers

Katherine goes to the deli to buy some turkey. Turkey cost $5.28 per pound. Katherine needs to buy 3 1/4 pounds of turkey. How m

Leto [7]

5.28 dollars per pound multiplied by 3.25 pounds is a total of 3.25*5.28=$17.16.

7 0

3 years ago

Combine like terms to simplify the expression: 2/5k-3/5+1/10k

charle [14.2K]

Answer:

1/2k-3/5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

ASAP!! (12y + 8) (5y + 2) 2x st (sy

VladimirAG [237]

Answer:

y = 10

x = 64

Step-by-step explanation:

the equations containing y are adjacent angles in a parallelogram, meaning that they are supplementary, so we can create an equation:

5y + 2 + 12y + 8 = 180

solve this to get y = 10

the equation for x would be 2x + 5y + 8 = 180 because these angles are also supplementary

solve this to get x = 64

3 0

2 years ago