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:
The answer is 50 cents per fluid ounce and There is no option it so yeah 7 cups it’s 56 fluid ounces
Answer:
A. Convex heptagon Is the correct answer
Step-by-step explanation:
Please mark brainliest!
Answer:
1/12
Step-by-step explanation:
7 is one number out of 12 so if we take the one to the fraction is 1/12 aka simple easy math. if you want to simplify it would be impossible because 1 to 12 its impossible if it was 2/12 it would be 1/6, Sorry if i got the answer wrong.
If 3z=2z+5 and z=5, then you’d just plug the 5 in.
3(5)=2(5)+5 —> 15=10+5 —> 15=15
This statement is TRUE because 15 does equal 15.
I hope this helps. :)
