please answer that ASAP IF THE PIC DOES NOT WORK HERE IS SE

please answer that ASAP,

IF THE PIC DOES NOT WORK , HERE IS SEVERAL LINK THAT YOU CAN ACCESS THE PIC

1)

https://postimg.org/image/j3j7abes5/

2)

https://s10.postimg.org/ptzojr1y1/MATH_199_12_Assignment_6_page_002.jpg

Solution

Solution:

Working

Generation 0 = 1 = 2⁰

Generation 1 = 1 + 2 = 2⁰ + 2¹

Generation 2 = 1 + 2 + 4 = 2⁰ + 2¹ + 2² ...................... n

Generation n = 2^k = 2⁽ⁿ⁺¹⁾ + 1 ............................... k=0

a) S(60) = 2⁽⁶¹⁾ + 1 = 2,305,843,009,213,693,953

b) T = 30 years/generation * 60 generations = 1800 years

c) 10¹⁸ = 2⁽ⁿ⁺¹⁾ + 1

or n = ln( 10¹⁸ - 1 ) / ln(2)

or n ~ 59.7947 generations

or n ~ 60 generations