Given data :
a₃ = 9/16
aₓ = -3/4 · aₓ₋₁
Where x is the number of terms ('x' is also written as 'n')
To find the 7th term (a₇):
We know that aₓ = -3/4 · aₓ₋₁
So,
a₃ = -3/4 · a₃₋₁
a₃ = -3/4 · a₂
9/16 = -3/4 · a₂
a₂ = 9/16 × -4/3
a₂ = -36/48
a₂ = -3/4
Again,
aₓ = -3/4 · aₓ₋₁
a₄ = -3/4 · a₄₋₁
a₄ = -3/4 · a₃
a₄ = -3/4 · 9/16
a₄ = -27/64
a₄ = -27/64
For a₅,
aₓ = -3/4 · aₓ₋₁
a₅ = -3/4 · a₅₋₁
a₅ = -3/4 · a₄
a₅ = -3/4 × -27/64
a₅ = 81/256
For a₆,
aₓ = -3/4 · aₓ₋₁
a₆ = -3/4 · a₆₋₁
a₆ = -3/4 · a₅
a₆ = -3/4 × 81/256
a₆ = -243/1024
For a₇,
aₓ = -3/4 · aₓ₋₁
a₇ = -3/4 · a₇₋₁
a₇ = -3/4 · a₆
a₇ = -3/4 × -243/1024
a₇ = 729/4096
You were trying to write -4+3x≤12+5x
remember, you can do anything to an equaiton as long as you do it to both sides
-4+3x≤-12+5x
minus 3x both sides
-4≤-12+2x
add 12 to both sides
8≤2x
divide both sides by 2
4≤x
x≥4
x≥7.5
Answer:
the value of 8 in 1857 is ten times the value of 8 in 3083
Step-by-step explanation:
1857 3083
800/80=10
8/.4 = you'd get 20 of them....................
4.5 ÷ 3 = 1.5
This means that the ratio has increased by 1.5
Since anything multiplied on one side of a ratio has to be multiplied on the other side too, we multiply 1.5 by 4:
1.5 X 4 = 6
The width would be 6cm
