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:
8000 is a perfect cube but 3375 can be also but i m a little sure that 8000 is a perfect cube
The answer is 3ft because i know im in high schooland u have to find the legth
Answer:12
Step-by-step explanation:
k
Answer:
Part A: $55.50
Part B: 52 hamburgers(sorry if I am wrong for part b but I think it is right)
Step-by-step explanation:
Part A: $14.50 x 3= $43.50 + 24 x $0.50= $12=
($ earned per hrs x hrs worked)+ ($ per hamburger sold x times amount)
Hence $43.50 + $12= $55.50.
Part B: $14.50 x 6.5 = $94.25 $120 - $94.25= $25.75
($ earned per hrs x hrs worked x x hrs worked) ($ earned - $ earn from shif
$25.75/0.50=51.5 (51.5 rounded to nearest burgers is 52 burgers)
Hence answer is 52 burgers.
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