# The nth term of a sequence is 2^n+2^(n-1), how do you work out the 10th term of the sequence?

Dec 29, 2017

$1536$.

#### Explanation:

To find the ${10}^{t h}$ term of the sequence having ${n}^{t h}$ term

${2}^{n} + {2}^{n - 1} ,$ we just plug in $n = 10$ in the formula for ${n}^{t h}$ term.

$\therefore \text{The reqd. term=} {2}^{10} + {2}^{10 - 1}$,

$= {2}^{10} + {2}^{9}$,

$= 1024 + 512$,

$= 1536$.