Question

2+4+8+.....+2^n=254 then n

Answer 1

Answer:

1

Step-by-step explanation:

a=2

d= 4-2=2

an= 2 ^n

Sn= 254

an= a+(n-1)d

=> 2^n = 2+(n-1)2

=> 2^n = 2+ 2n-2

=> 2^n = 2n

=> 2n= 2

=> n= 1

So, n=1