Answer:
x=1
Step-by-step explanation:
2x+6x-x=7
7x=7
x=1
...............
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
So for this it's asking to multiply 10,000 glass beads by the length of 0.4 cm.
So to make it easier let's just make it a fraction.
This will make it 4/10 (because 0.4 is just 4 tenths of a whole number)
So now we can upscale the sizes to the proper ratio. This ratio being the thousands.
4000/10000
Meaning the answer is 4000cm in length.
Answer:
B
Step-by-step explanation:
We can notice that based on the given pattern, the average rate of change from 
to 
, where 
, is 
.
So, the average rate of change from 
to 
is 
.
Divide 8 ft by 0.75, then divide by one third.
