Answer:
False
Step-by-step explanation:
- For first summation, we plug in k=3,4,5,6,and 7 into the formula [tex]3^k[/tex] and sum them all up.
- For second summation we plug in b=7,8,and 9 into the formula [tex]3^b[/tex] 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 [tex]3^a[/tex] and sum them all up. We check witht he LHS if this is true or not.
First Summation: [tex]3^3+3^4+3^5+3^6+3^7[/tex]
Second Summation : [tex]3^{7}+3^8+3^9[/tex]
Their sum is [tex]3^3+3^4+3^5+3^6+3^7+3^7+3^8+3^9[/tex]
RHS sum: [tex]3^3+3^4+3^5+3^6+3^7+3^8+3^9[/tex]
The LHS sum has a [tex]3^7[/tex] term "extra", hence LHS is NOT EQUAL to RHS.
Answer is False
