Find the sum of the finite geometric sequence whose first term is 1.2, whose ratio is 0.5, and which has five terms.
The sum is =

(Type an integer or decimal rounded to five decimal places as needed.)

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Work Shown:

The shortcut way to do this is to plug a = 1.2, r = 0.5 and n = 5 into the formula below.

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The longer way is to generate the first five terms, then add them up. To generate the terms, we multiply each term by 0.5 to get the next one.

a1 = first term = 1.2

a2 = second term = 0.6, result of multiplying 0.5 and 1.2

a3 = third term = 0.3

a4 = fourth term = 0.15

a5 = fifth term = 0.075

Now add up the five terms

a1+a2+a3+a4+a5 = 1.2+0.6+0.3+0.15+0.075 = 2.325

This method isn't too tedious since n = 5 isn't too large. For large values of n, it is better to use the formula shown in the previous section.

Step-by-step explanation:

a = 1.2;  r = 0.5

first term = 1.2

second term= 1.2*0.5 = 0.6

Third term = 0.6*0.5=0.3

Fourth term = 0.3*0.5=0.15

Fifth term=0.15*0.5=0.075

Sum of five terms = 1.2 + 0.6 +0.3 + 0.15 + 0.075 = 2.325

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?