Determine whether the geometric series is convergent or divergent. 6 + 5 + 25/6 + 125/36 +
if it is convergent, find its sum. (if the quantity diverges, enter diverges.)

The -th term in the series is 6 multiplied by the -th power of 5/6:

and so on.

Consider the -th partial sum,

Multiplying both sides by 5/6 gives

and substracting this from gives

As , it's clear that the sum converges to 36.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.