In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.
The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to
S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:
S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78
The answer is 3 + √5 and 3 - √5.
This is quadratic equation: x²
- 6x +
4 = 0
The general quadratic equation is ax² +
bx +
c = 0
Our equation can be rewritten: 1x² + (-6)x + 4 = 0
So, in our equation we have: a = 1, b = -6, c = 4
Now, x can be calculated using the formula:


From here:
Answer:
c
Step-by-step explanation:
√2 ≈ 1.41
π ≈ 3.14
√7 ≈2.65
√π ≈ 1.77
π² ≈ 9.87