Answer:
80, 160
Explanation:
this is a geometric sequence
formula = ar^(n-1)
where a is the first term and r is the ratio/multiple
r = 10/5 = 20/10 = 40/20 = 2
we know first term is 5. put this into formula
ar^(n-1) = (5)(2)^(n-1) = 5(2)^(1-1) = 5(2)^0 = 5(1) = 5.
second term is 10
confirm this with formula.
ar^(n-1) = 5(2)^(2-1) = 5(2)^1 = 5(2) = 10
so to find next two terms (the fifth and sixth terms):
ar^(n-1) = (5)(2)^(5-1) = (5)(2)^(4) = 5(16) = 80. this is fifth term
ar^(n-1) = (5)(2)^(6-1) = (5)(2)^(5) = 5(32) = 160. this is sixth term