Question

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

• A. 2ⁿ + 1
• B. 2ⁿ - 1
• C. 3ⁿ - 1
• D. 2^n-1 + 1

Answer 1

The correct option is B

2ⁿ - 1

The terms can be written as

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

$\Rightarrow n^{th}$ term = $2^n-1$