The general term for the sequence 2, 4, 8, 16, 32, . . is

We are given

sequence is 2 , 4 , 8 ,16 , 32 , .....

Firstly , we will check whether it is geometric sequence

Checking geometric sequence:

We will find common ratio between successive terms

and then we check whether they are equal

r1=(second term)/(first term)

r2=(third term)/(second term)

r3=(fourth term)/(third term)

r4=(fifth term)/(fourth term)

we can see that all four ratios are same

so, this is geometric sequence

Calculation of general term:

We got

common ratio is

Let's assume

number of terms is n

first term is 2

now, we can use formula

we can plug values

and we get

..................Answer

the answer is d. 75%