The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 42 and the common ratio is 3/4. write the sum in sigma notation and calculate the sum that will be the upper limit of this population.

we are given

first term is

common ratio is

now, we can find nth term

now, we can plug values

now, we can write in sigma form

now, we can find sum

we can use formula

now, we can plug values

we get

so, option-D.................Answer

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8