Question

Using sigma notation write the geographic series: 6+12+24+48+96

Answer 1

`$$\sum_(n=1)^(5) 6(2^(n-1)) $$`

Explanation:

6 + 12 + 24 + 48 + 96 =

= 6 + 6 * 2 + 6 * 4 + 6 * 8 + 6 * 16

= 6 + 6 * 2^2 + 6 * 2^2 + 6 * 2^3 + 6 * 2 * 4

= 6 * 2^(n - 1)

`$$\sum_(n=1)^(5) 6(2^(n-1)) $$`