Find a formula for the sequence 3, 9/4, 27/7, 81/10,... in sigma notation
1 answer:
9514 1404 393
Answer:
Step-by-step explanation:
The sequence terms appear to have numerators that are powers of 3, and denominators that are a linear (arithmetic) sequence with a first term of 1 and a common difference of 3.
numerator: 3^x
denominator: 1 +3(n -1) = 3n-2
Then the sum of n terms of the sequence can be described by ...
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Answer:
x =
y =
Step-by-step explanation:
2x = 10y - 8
3x + 4y + 5 = 0
2x = 10y - 8
x = 5y - 4
3x + 4y + 5 = 0
3 ( 5y - 4 ) + 4y + 5 = 0
19y - 7 = 0
19y = 7
y =
x = 5y - 4
x = 5 ( ) - 4
x =
Answer:
r = - 11
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m =
with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)
m = =
= - 4 ( multiply both sides by 4 )
r - 5 = - 16 ( add 5 to both sides )
r = - 11