Answer:
Option c. 81/2
Step-by-step explanation:
Fifth term: a5=?
First term: a1=8
Common ratio: r=3/2
an=a1*r^(n-1)
with n=5
a5=a1*r^(5-1)
a5=a1*r^4
Replacing the known values:
a5=8*(3/2)^4
a5=8*(3)^4/(2)^4
a5=8*81/16
Simplifying: Dividing the numerator and denominator by 8:
a5=(8*81/8)/(16/8)
a5=81/2
Answer: Option c. 81/2
Answer:
Step-by-step explanation:
1) since the sixth term is 3 and the fifth term 24, the common ratio would be 3/24 = 1/8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
If t6 = 3,r = 1/8, then
3 = a × 1/8^(6 - 1) = a × (1/8)^5
a = 3/(0.125)^5 = 98304
The first term is 98304.
Second term is 98304 × 1/8 = 12288
Third term is 12288 × 1/8 = 1536
Third term is 1536 × 1/8 = 192
2) t1 = 4
t2 = - 3t(2- 1) = - 3t1 = - 3 × 4 = - 12
t3 = - 3t(3- 1) = - 3t2 = - 3 × - 12 = 36
t4 = - 3t(4- 1) = - 3t3 = - 3 × 36 = - 108
3) let the numbers be t2,t3 and t4
The sequence becomes
1/2, t2,t3, t4,8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
8 = 1/2 × r^(5 - 1)
8 = 1/2 × r^4
16 = r^4
2^4 = r^4
r = 2
t2 = 1/2 × 2 = 1
t3 = 1 × 2 = 2
t4 = 2 × 2 = 4
Answer:
Step-by-step explanation:
Answer:
$7,987.64
Step-by-step explanation:
We know,
A = Pe^(rt)
Here,
A = 11000
interest r = .08
Time t = 4
Now,
11000 = Pe^(.08 * 4)
Or, 11000 = Pe^.32
Or, 11000 / e^.32 = P
Or, 7987.6394 = P
Or, P= 7,987.64
Jerome will have to ask for $7,987.64 to his parents.
(-6)(-0.4)(-0.5) = (-1)6⋅4⋅5⋅10⁻² = -1.2
