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If \( P(x) = x^2 + 3x – 4 \) and \( Q(x) = 2x^2 – x + 1 \), what is \( P(x) + Q(x) \)?

A population model is given by \(f(n) = 40(1.4)^{n-1}\).   Does the infinite series \(\sum_{n=1}^{\infty} f(n)\) have a finite sum?

Which is an alternate form of \( x^3 + y^3 \), creating a polynomial identity?

A radioactive substance loses 30% of its mass each year.   Which type of sequence represents the remaining mass each year?

A bacteria culture starts with 400 cells and doubles every hour.   What type of sequence models the number of cells over time?

A sequence is shown below:   Data Table \(n\) 1 2 3 4 \(a_n\) 3 9 27 81   Which type of sequence is represented?

A parabola has vertex \((1,-2)\) and focus \((1,1)\). What is its equation?

The arithmetic sequence defined by   \(f(n) = -2 + 4(n-1)\) has domain \(\{1,2,\dots,25\}\).   Find \(\sum_{n=1}^{25} f(n)\).

Find the sum of the infinite series   \(\sum_{n=1}^{\infty} 8\left(\frac{1}{4}\right)^{n-1}\).

A sequence is defined recursively by \(a_1 = 256\) and \(a_n = \frac{1}{2}a_{n-1}\).   Which explicit rule represents this sequence?