15 POINTS

Please do #53 and show work

511

Step-by-step explanation:

53.

For this problem simply plug in the numbers: 1 through 9 for n

the n=1 on the bottom represents the start and the 9 at the top represents the end

and the 2^n-1 represents the rule

solving for a1: plugging in one for n

a1=2^1-1

a1=1

a2=2^2-1

a2=2

a3=2^3-1

a3=4

a4=2^4-1

a4=8

a5=2^5-1

a5=16

a6=2^6-1

a6=32

a7=2^7-1

a7=64

a8=2^8-1

a8=128

a9=2^9-1

a9=256

after finding all these values add them all together and you should get your answer

1+2+4+8+16+32+64+128+256

=511