Answer:
Choice A
Step-by-step explanation:
Answer:
-84
Step-by-step explanation:
The formula for the nth term of a geometric progression is
Un = ar^n- 1
The sum of the first six terms of a geometric series (U6) = 21/16
Common ratio = -1/2 ,
a = First term ??
21/16 = a × (-1/2 )^6- 1
21/16 = a ×(-2^-1)^5
21/16 = a × -2^-6
Cross Multiply
16 × a × -2^-6 = 21
a = 21/16 × -2^-6
a = 21/16 ×- 1/2⁶
a = 21/16 × -1/64
a = 21 ÷(-1/4)
a = 21 × -4
a = -84
The first term = 84
11 plus what number equals 16 in order to complete your problem.
The LCD of these fractions is 60!
The sum of these fractions is 
!
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Answer:
k = 3
Step-by-step explanation:
We have the distance formula: 
. We can plug in 
= d, x2 = 6, x1=2, y2 = 7, y1 = k.
Then, we can solve the question using some algebra to find that k = 3.
Edit: Here is a step by step:
