Answer:
6, 2, 2/3, 2/9, 2/27, 2/81
Step-by-step explanation:
The nth term of a geometric progression is expressed as;
Tn = ar^n-1
a is the first term
n is the number of terms
r is the common ratio
Given
a = 6
r = 1/3
when n = 1
T1 = 6(1/3)^1-1
T1 = 6(1/3)^0
T1 = 6
when n = 2
T2= 6(1/3)^2-1
T2= 6(1/3)^1
T2 = 2
when n = 3
T3 = 6(1/3)^3-1
T3= 6(1/3)^2
T3= 6 * 1/9
T3 = 2/3
when n = 4
T4 = 6(1/3)^4-1
T4= 6(1/3)^3
T4= 6 * 1/27
T4 = 2/9
when n = 5
T5 = 6(1/3)^5-1
T5= 6(1/3)^4
T5= 6 * 1/81
T5 = 2/27
when n = 6
T6 = 6(1/3)^6-1
T6= 6(1/3)^5
T6= 6 * 1/243
T6 = 2/81
Hence the first six terms are 6, 2, 2/3, 2/9, 2/27, 2/81
First, 10 1/2 is the same as 21/2
If there are 12 inches in a foot then
21/2*12=126 inches
12 is the number of $10 bills
20 is the number of $20 bills
<u><em>Step-by-step explanation:</em></u>
<u><em /></u>
Hello,
<u>Let's note</u>
a the number of $10 bills
b the number of $20 bills
The total value is $520 so we can write the first equation (1)

We know that there are 32 bills in total so we can write the second equation (2)

(1) - 10*(2) gives
10a + 20b - 10(a+b) = 520 - 320 = 200
10a + 20b - 10a - 10b = 10b = 200
So b = 200/10=20
and then from (2) a = 32 - 20 = 12
Hope this helps.
Do not hesitate if you need further explanation.
Thank you