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:
No
Step-by-step explanation:
By the factor theorem if (x + 2) is a factor of f(x) then f(- 2) = 0
f(- 2)
= 2
+ 
+ 32(- 2) + 32
= 2(64) - 32 - 64 + 32
= 128 - 32 - 64 + 32
= 64 ≠ 0
Hence (x + 2) is not a factor of f(x)
25/100 =0.25
10 x 0.25= 2.5
Answer:
p + 111 = 210
p = 99
Step-by-step explanation:
Break the question down into parts.
<u>Convert each part into algebraic form</u> (numbers or symbols).
210 => 210
is equal to => =
the total of p and 111 => p + 111
Put the equation together:
210 = p + 111
Usually, the variable is on the left side:
p + 111 = 210
<u>To solve the equation is to isolate "p"</u>. This means to keep "p" on the left, and move everything else to the right side. When moving something, do the <u>reverse operation</u> to both sides of the equation.
p + 111 = 210 "111" should be on the left. It's opposite is -111.
p + 111 - 111 = 210 - 111 Simplify. "111" cancels out on the left.
p = 99 Solved for "p"
Answer:
6.907
Step-by-step explanation:
