Find an explicit formula for the following sequence, an, which starts with a1=8.
8,2,−4,−10,−16,…

= 14 - 6n

Step-by-step explanation:

Note there is a common difference d between consecutive terms

2 - 8 = - 4 - 2 = - 10 - (- 4) = - 16 - (- 10) = - 6

This indicates the sequence is arithmetic with n th term

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = - 6, thus

= 8 - 6(n - 1) = 8 - 6n + 6 = 14 - 6n

i'm pretty sure it's 477,585,296, but perhaps my math is incorrect.

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.