Answer:
49
Step-by-step explanation:
6238 -6287
=49
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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:
Answer:
5/42 is your answer take robot to complete
7 tasks = 5/6
1 task = 5/42 hour.
1 hour / (5/42 hour/task) = 15/2 tasks = 8.2 tasks.
half a task isn’t a complete task, so the answer is 8 tasks.
Answer:
The lodge is 21 feet tall.
Step-by-step explanation:
Ski Lodge:
object/shadow
x/3
Ski Pole:
object/shadow
3.5/0.5
Solve for x:
x/3 = 3.5/0.5
0.5x = 10.5
x = 21
