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:
A, it is the 3rd line in a set of 8. 1/8 equals .125 Multiply 3X.125 and it equals .375
Step-by-step explanation:
Answer:
20% of 10= 2 is the answer
hope this helps!
.05*2000=100 Non-Sporting
.06*2000=120 Herding
.24*2000=480 Sporting
.21*2000=420 Working
.16*2000=320 Hound
.16*2000=320 Terrier
.12*2000=240 Tay
Hope I didn't mess up for your sake
