Question

Find first five terms an=2an-1+1 if a1=1

Answer 1

To find the first five terms of the sequence given by the formula an = 2an-1 + 1, we can start by plugging in the initial value of a1 = 1:

a1 = 1
a2 = 2(1) + 1 = 3
a3 = 2(3) + 1 = 7
a4 = 2(7) + 1 = 15
a5 = 2(15) + 1 = 31

Therefore, the first five terms of the sequence are 1, 3, 7, 15, 31.