Answer:
25^4
Step-by-step explanation:
Here, we want to find the expression that shows the total number of pages in all of the news papers
Number of pages per book = 25
Number of schools is 25
Number of classrooms is 25
Number of students per classroom is 25
Now; the number of students in each school
is 25 * 25
Number of students in all of the school will be;
25 * 25 * 25
So the number of pages in all of the schools will be;
25 * 25 * 25 * 25 = 25^4
Answer:
C, 6
Step-by-step explanation:
31-13 is 18, 18/3 is 6.
Answer: 100 x
Step-by-step explanation:.
Answer:
To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;
3·4ⁿ is divisible by 3 and 51 is divisible by 3
Where we have;
= 3·4ⁿ + 51
= 3·4ⁿ⁺¹ + 51
-
= 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ
-
= 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ
∴
-
is divisible by 9
Given that we have for S₀ = 3×4⁰ + 51 = 63 = 9×7
∴ S₀ is divisible by 9
Since
-
is divisible by 9, we have;
-
=
-
is divisible by 9
Therefore
is divisible by 9 and
is divisible by 9 for all positive integers n
Step-by-step explanation: