Answer:
we need to prove : for every integer n>1, the number is a multiple of 5.
1) check divisibility for n=1, (divisible)
2) Assume that is divisible by 5,
3) Induction,
Now,
Take out the common factor,
(divisible by 5)
add both the sides by f(k)
We have proved that difference between and is divisible by 5.
so, our assumption in step 2 is correct.
Since is divisible by 5, then must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.
Therefore, for every integer n>1, the number is a multiple of 5.
Answer:
There is only one number from 21-25
Answer:
C. Or the third option
Step-by-step explanation:
When you multiply something by a power of ten the decimal moves either left or right by the exponent. That probably sounds really confusing but here are some examples. If you multiply a number by 10^4 the decimal will move right 4 places making the number larger. Meanwhile if you multiplied it by 10^-4 it will move to the left 4 places making the number smaller. In your case, when you multiply 1.207 by 10^7, the decimal moves places to the right which makes it 12,070,000
The answer is x2 + 2xy + y2.
Answer: The surface area of the triangular prism is 448 square millimeters.
To find the surface area, we just need to input our values into the formula that is given.
SA = 2B + Ph
SA = 2(84) + 56(5)
SA = 168 + 280
SA = 448
The final surface area is 448 mm^2.