By the binomial theorem,
where
Then the coefficients of the 
terms in the expansion are, in order from 
to 
,
Simply it as follows:
1 + 39 = 40
2 + 38 = 40 etc
18 + 22 = 40
19 + 21 = 40
There are 19 of these plus 40 itself . . .therefore 20 of them
20 x 40 = 800
And finally the last number not used, 20
Therefore 800 + 20 = 820
Answer:
m=1
Step-by-step explanation:
step 1: 8(m + 2) = 3(12 - 4m) remove the parentheses
step 2: 8 m + 2 = 3 12 - 4m move the terms
step 3: 8m+ 12m= 36 - 16 collect like terms and calulate
step 4: 20m=20 divide both sides
solution: m=1
Answer:
0.078125.
Step-by-step explanation:
This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.
nth term = a1 r^(n -1) so here:
9th term = 20(0.5)^(9-1)
= 20(0.5)^8
= 0.078125.
to 
to 
