Guys please help!!!!
1 answer:
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We need to write the sum in this form:
So, we need to find an appropriate sequence, such that is the i-th even number.
You can easily check that this series is . In fact, you have
and so on. Finally, we have to observe that we want the first 50 elements of this sequence, since .
So, the sum can be written as
Answer:
-20/3
Step-by-step explanation:
First simplify the left side of the equation
243^(1/5x)= (243^1/5)^x
=( )^x
= 3^x
Now that the left side is simplified, let's move to the right side
81^(x+5)=( )^(x+5) simplify 81 to base 3^4
= use the product of powers property to multiply the exponents together
=
With both sides simplified, let's rewrite the equation, this time in simplified terms
=
x=4x+20 because both the bases are same, their exponential value must also be equal
-3x=20 solve the algebraic equation for x
x=