Question

Need help with this also plz asap

Answer 1

Try it randomly idk, sorry I couldn’t help

Answer 2

For this case, we must expand the series for each value of "n". That is to say:
`2 ^ {(1) -2} +2 ^ {(2) -2} +2 ^ {(3) -2} +2 ^ {(4) -2} +2 ^ {(5) -2} =`

We have that equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the major is placed:

2 ^ {1-2} + 2 ^ {2-2} + 2 ^ {3-2} + 2 ^ {4-2} + 2 ^ {5-2} =

`2 ^ {-1} + 2^(0)+ 2^(1) + 2^(2) + 2^(3)=`

By definition of power properties we have to:

`a ^ {-1} = \frac {1} {a}\\a ^ 0 = 1`

So:

`\frac {1} {2} + 1 + 2 + 4 + 8 =`

We find the common denominator:

`\frac {1} {2} + 1 * \frac {2} {2} + 2 * \frac {2} {2} + 4 * \frac {2} {2} + 8 * \frac {2} { 2} =\\\frac {1 + 2 + 4 + 8 + 16} {2} =\\\frac {31} {2} =\\15.5`

Answer:

Option B