Question

The nth term of the sequence 1, 3, 7, 15,... can be written as

• A. $2^n$ + 1
• B. $2^n$ - 1
• C. $2^{n-1}$ - 1
• D. $2^{n-1}$ + 1

Answer 1

The correct option is B

$2^n$ - 1

The terms can be written as

($2^1$ - 1),( $2^2$ - 1), ( $2^3$ - 1).............

$\Rightarrow$ nth term = $2^n$ - 1