Nth term of gp = a(1 - r^n)/(1 - r), where n∞ = 10, n = ∞, a = 2, r < 1
10 = 2(1 - r^∞)/(1 - r)
10 = 2/(1 - r)
1 - r = 2/10 = 1/5
r = 1 - 1/5 = 4/5
An infinite deometric series with a beginning value of 2 that converges to 10 has common ratio of 4/5.
The first four terms are: 2, 1.6, 1.28, 1.024
Step-by-step explanation:
9(7x-2) = 5 (10x - 1)
63x-18=50x-5
63x-50x=-5+18
13x=13
x=13/13
x=1
Answer:
I can't see your question
Answer:
B the light blue one
Step-by-step explanation:
Answer:
1st answer
Step-by-step explanation:
Another way to say 2 coats is
to paint the fence twice
Also, that is the same as painting
2 identical fences
---------------
Tom's rate is:
+1%2F8+ = ( 1 fence ) / ( 8 hrs )
Huck's rate is:
+1%2F5+ = ( 1 fence ) / ( 5 hrs )
---------------------------
Let +t+ = the time in hrs for them
to paint 2 fences
+2%2Ft+ = ( 2 fences ) / ( t hrs )
---------------------------
+1%2F8+%2B+1%2F5+=+2%2Ft+
Multiply both sides by +40t+
+5t+%2B+8t+=+80+
+13t+=+80+
+t+=+6.154+
It will take them 6.154 hrs
