Answer:
Step-by-step explanation:
the answer is 458 because thats the right answer
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
You have an equation and a table with the x value given.
Replace x in the formula with the x value in the table and solve for y.
y = x^2 + 1
y = (-3)^2 + 1 = 9+1 = 10
y = (-2)^2 +1 = 4+1 = 5
y = (-1)^2 +1 = 1+1 = 2
y = (0)^2 + 1 = 0+1 = 1
y = (1)^2 +1 = 1+1 = 2
y = (2)^2 +1 = 4+1 = 5
y = (3)^2 +1 = 9+1 = 10
