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:
depands
Step-by-step explanation:
on how much ppl
Answer:
No, but i would like to know who they are
Step-by-step explanation:
Answer:
B. 26,606.63
Step-by-step explanation:
The area of Gateway National Recreation Area is about twenty-six thousand, six hundred six and sixty-three hundredths. Which shows this number in standard form? A. 26,606.3 B. 26,606.63
C. 26,660.63 D. 26,666.3
Solution
Break down and writing in numerals of twenty-six thousand, six hundred six and sixty-three hundredths.
Twenty six thousand = 26,000
Six hundred six = 606
Sixty - three hundredth = 0.63
Adding
26,000 + 606 + 0.63
We have
26,606.63
The correct answer is B
