The hockey team has been great! in 2008, they won 20% more games than in 2007 in 2009 they won 50% more games than in 2008 what was their overall percentage increase from 2007 through2008?

80 %  

Step-by-step explanation:

Let G₇= games won in 2007

In 2008

G₈ = G₇ + 20 % of G₇

    = G₇ + 0.20G₇

    = G₇(1 + 0.20)

    =1.20G₇

In 2009

G₉ = G₈ + 50 % of G₈

    = G₈ + 0.50G₈

    = G₈(1 + 0.50)

    = 1.50G₈     Substitute the value of G₈

    = 1.50(1.20G₇)

    = 1.80G₇

    = G₇(1 + 0.80)

    = G₇ + 0.80G₇

In 2009, the team won 80 % more games than in 2007.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2