Answer: C) 127, 152.4, 182.88, 219.456,...
Step-by-step explanation:
You can only find the sum of an infinite geometric sequence if it converges.
One criterion to see if the series converges is if:
aₙ < aₙ₋₁
This means that, as n increases, the value of the terms decreases.
This means that as n tends to infinity, aₙ tends to zero.
Then we only can find the sum of those series where the terms are decreasing.
in A, B and D the terms are decreasing, then we can find the sum of those 3 series.
Now in the case of C, the terms are increasing, then we can not find the sum of that series.
Answer: The answer is 60
Step-by-step explanation: 40% = .4 because % means hundredths. So 40% = 40/100 = .4
Let x be the total number of marbles.
Then, .4x = 24
Divide both sides by .4
x = 60 and 24 is 40% of 60 marbles
If you are given y = (-3/7)x - 2 and you want it in the form Ax+By = C, then...
y = (-3/7)x-2
7*y = 7*( (-3/7)x-2) ... multiply both sides by 7
7y = -3x-14 ... distribute and multiply
7y+3x = -3x-14+3x ... add 3x to both sides
3x+7y = -14
The standard form equation is 3x+7y = -14
Answer:
7^1/3 * y^1/3
Step-by-step explanation:
(7y) ^ 1/3
We know that (ab) ^c = a^c * b^c
7^1/3 * y^1/3
Answer:
-9/10
Step-by-step explanation:
- Find the LCM of 10 and 3: 30
- Alter the numerators to fit the denominators: 3 × 3 = 9, -1 × 10 = -10
- Re-write the fractions: 9/30 ÷ -10/30
- 9/30 ÷ -10/30 = 9/30 × -30/10
- 9/30 × -30/10 = -270/300
I hope this helps!
