An=a1r^(n-1)
given
a5=1/24
a10=1/768
we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)
so
1/24=a1r^4
1/768=a1r^9
(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32
r^5=1/32
take 5th root of both sides
r=1/2
we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3
the first term is 2/3
Answer:
20°
Step-by-step explanation:
One way of doing this is to find the constant of proportionality, k:
8k + 6k + 4k = 90° Then 18k = 90°, and k turns out to be 90/18, or 5.
Then the angles are 8(5), 6(5) and 4(5). The smallest of these angles is thus 20°
Answer:
15x-45+7
Step-by-step explanation:
You would add the 10x and the 5x im pretty sure that would simplify it
90 books would be left I believe I just took 250/9 since it would take 9 quarters to make $2.50 and since 75% was gone that would mean 25% is left so your answer is 90 unless it’s not but I believe it’s right.
Answer: x = 4
Step-by-step explanation:
We'll call the number "x."
"Twice the difference of a number and 3" means 2(x-3)
is equal to 2: =2
Put them together:
2(x-3) =2
2x - 6 = 2
2x = 8
x = 4
Check:
2(x-3)
Twice the difference of a number and 3 is equal to 2
2(4 - 3) = 2 ?
<h2>2(1) = 2 <u>
Yes</u></h2>
