Question

Determine whether the equation is true or false.

Please select the best answer from the choices provided

T
F

Answer 1

False

Explanation:

• For first summation, we plug in k=3,4,5,6,and 7 into the formula
  `3^k` and sum them all up.
• For second summation we plug in b=7,8,and 9 into the formula
  `3^b` and sum them all up.

Then we ADD first summation and 2nd summation.

On RHS of the equation, we plug in a=3,4,5,6,7,8, and 9 into the formula
`3^a` and sum them all up. We check witht he LHS if this is true or not.

First Summation:
`3^3+3^4+3^5+3^6+3^7`

Second Summation :
`3^(7)+3^8+3^9`

Their sum is
`3^3+3^4+3^5+3^6+3^7+3^7+3^8+3^9`

RHS sum:
`3^3+3^4+3^5+3^6+3^7+3^8+3^9`

The LHS sum has a
`3^7` term "extra", hence LHS is NOT EQUAL to RHS.

Answer is False