A(n) =(3/4)x a(n-1)
for n =1==> a₁ =8
Give for n, the value 2,3,4 etc.
for n=2==>a₂ = 3/4(a₁) = 3/4 (8) = 6
for n=3 ==>a₃ =3/4(a₂) = 3/4(6) = 9/2
for n=4 ==>a₄ =3/4(a₃) = 3/4(9/2)
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and for n=n ==>a(n) =(3/4)(a(n-1)
Using a system of equations, the weight of 5 apples, 2 oranges are 4 bananas is given as follows:
B. 1147 gm.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Weight of an apple.
- Variable y: Weight of an orange.
- Variable z: Weight of a banana.
Considering the data given, the equations are:
From the first equation:
3x = 928 - 5y.
x = 309.33 - 1.667y.
From the second equation:
6z = 1088 - 4y
z = 181.33 - 0.667y
Replacing in the third equation:
5x + 3z = 799
5(309.33 - 1.667y) + 3(181.33 - 0.667y) = 799
10.336y = 12961.64
y = 1291.64/10.336
y = 125 gm.
The other weights are:
- x = 309.33 - 1.667y = 309.33 - 1.667 x 125 = 101 gm.
- z = 181.33 - 0.667y = 181.33 - 0.667 x 125 = 98gm.
The weight of 5 apples, 2 oranges are 4 bananas is:
5x + 2y + 4z = 5 x 101 + 2 x 125 + 4 x 98 = 1147 gm, option B.
More can be learned about a system of equations at brainly.com/question/24342899
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