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:
84 in.
Step-by-step explanation:
multiply 12 by 7
there are 12 inches in a foot and 7 feet
That means you are multipliying 10,000,000 by 280,509,031...
Thats when point =0. equation of a line mx +b where m is the slope
and b is the intercept
Answer:
I win 10% = 217.8
I lost 10% = 178.2
217.8 + 178.2 = 396
198 + 198 = 396
396 = 396
I neither gain nor lose anything: V
Step-by-step explanation:
