(a(1) = -2
(a(n) = a(n − 1) – 5
Find the 4th term in the sequence.

a(4) = -17

Step-by-step explanation:

hello :

use :  a(n) =a(n-1)  -5

a(n) -a(n-1) = -5  (common differnce for  arithmetic sequence)

the ni-eme term is : a(n) = a(1) +(n-1)d       d = -5 and a(1) = -2

so : a(n) = -2 +(n-1)(-5)

a(n) = -5n+3

when : n= 4   a(4) = -5(4)+3 =-17

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

part a: 1.08

part b: 27.59