A₅ = 1/16 and r= 1/4
Let see how to build up this formula that is going to give that term of rank n
1st term =a₁ = To be calculated
1st a₁ = a₁ x r°
2nd a₂ = a₁ x r¹
3rd a₃ = a₁ x r²
4th a₄ = a₁ x r³
5th a₅ = a₁ x r⁴
.......................
.......................
nth : a(n) = a₁ x r⁽ⁿ-¹)
Note when that the subscript of a is the same as the exponent mines 1
We know the ratio r =1/4 & the fifth term, a₅ =1/16 (given). Now let's apply the formula to calculate the unknown a₁.
a(n) = a₁ x r⁽ⁿ-¹) ==>a₅ = a₁ x (1/4)⁽⁵⁺¹⁾ ===> 1/16 = a₁ x (1/4)⁴
1/167 = a₁ (1/256) ==> a₁ =16 & the formula becomes
a₅ = 16(1/4)⁴
Answer:2/7
Step-by-step explanation: A reciprocal is the "mirror image" of a fraction so the reciprocal is the fraction upside down.
Answer:
x=.5
Step-by-step explanation:
First, you need to isolate the variable term, so you have to move -5 over to the other side. Since it is subtraction on this side, you add 5 to both sides to cancel out the -5, and add it to the other side.
Now we have 10x=5. To solve for the variable, we have to divide by the number in the variable term. In this case, it is 10. 10/10 is 1, so now x is alone. We have to do the same thing on the other side. 5/10 is .5.
That's the answer! It's x=.5!
Ene score of the first test Is 56. Each test score is 2 points higher than the previous test score. So the score of the second test is 56+ 2 = 58.
The score of the third test is 58+ 2= 60.
And so on.
The scores form an arithmetic sequence 56, 58, 60, ......... with common difference 2.
But the values of the given exponential function \(s(n)=28*2^n\), describe a geometric sequence with common ratio 2.
So the exponential function cannot be used to model this problem.
The area of the wall is figured by length * width.
Area of wall = 13*9=117 square feet
Since one can covers only 50 square feet you will not have enough with one can. You will need 117/50=2.34 cans. Assuming you can only buy full cans you would need to buy 3 cans.
