The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 36 and the common ratio is one half. write the sum in sigma notation and calculate the sum that will be the upper limit of this population.

Option 3 - ; the sum is 72.

Step-by-step explanation:

Given : The population of a local species of dragonfly can be found using an infinite geometric series where and the common ratio is one half.

To find : Write the sum in sigma notation and calculate the sum that will be the upper limit of this population.        

Solution :

Geometric series is

The formula of sum of geometric infinite series is

In the given geometric series,

and

According to question,

Therefore, Option 3 is correct.

; the sum is 72.

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.  

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.