Answer:
See below.
Step-by-step explanation:
I will assume that 3n is the last term.
First let n = k, then:
Sum ( k terms) = 7k^2 + 3k
Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term
= 7k^2 + 3k + 14(k + 1) - 4
= 7k^2 + 17k + 10
Now 7(k + 1)^2 = 7k^2 +14 k + 7 so
7k^2 + 17k + 10
= 7(k + 1)^2 + 3k + 3
= 7(k + 1)^2 + 3(k + 1)
Which is the formula for the Sum of k terms with the k replaced by k + 1.
Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.
But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .
So it must also be true for all subsequent( 2,3 etc) terms.
This completes the proof.
Answer:
10x-15
Step-by-step explanation:
First, do Abbey. Abbey= 5 hrs less than 3 Emily.
Nathan spends twice as much as Abbey. Then you get 3x (Emily is x) -5 +x (for Emily) +6x - 10 (for Nathan. Add those. You get 3x+x+6x-5-10. I hope this is correct.
Yes it does because question back no remove
slope intercept form
y = mx +b
x-y =8
subtract x from each side
-y = -x+8
divide by -1
y = x-8
Choice C
