A sequence is defined by mc024-1.jpg, and mc024-2.jpg. What is the seventh term?
2 answers:
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
Answer:
d is the correct one
Step-by-step explanation:
You might be interested in
Step-by-step explanation:

Answer:
126
Step-by-step explanation:
The number of numbers divisible by 9 is ...
j = floor(500/9) = 55
The number of numbers divisible by 7 is ...
k = floor(500/7) = 71
Then the total (j+k) is ...
j +k = 55 +71 = 126
Answer:
the second store has the better deal.
Step-by-step explanation:
12 ÷ 2 = 6
7.5 × 6 = 45
20.2 < 45
3 boxes are filled every 4 minutes
Answer:
Added all together= 50
Black socks= 10
10/50
Step-by-step explanation: