Alg 1 Midterm Review Part 3

Front

What is the starting term for the function: f(x) = 300(1.16)^x?

Back

The starting term is 300.

Front

What function best models the amount of radioactive isotope after x years if there are initially 100 isotopes that half every year?

Back

f(x) = 100(1/2)^x.

Front

Determine the 28th term in the sequence: -98, -92, -86, -80, -74,...

Back

The 28th term is 64.

Front

What type of sequence is represented by the formula: a_n = a_1 + (n-1)d?

Back

This is an Arithmetic sequence.

Front

What is an asymptote in the context of exponential functions?

Back

An asymptote is a line that the graph approaches but never touches.

Front

Define an exponential function.

Back

An exponential function is a mathematical function of the form f(x) = a(b^x), where a is a constant, b is the base, and x is the exponent.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term is multiplied to get the next term.

Front

How do you find the nth term of an arithmetic sequence?

Back

Use the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the difference between an arithmetic sequence and a geometric sequence?

Back

An arithmetic sequence adds a constant difference, while a geometric sequence multiplies by a constant ratio.

Front

What does the term 'half-life' refer to in radioactive decay?

Back

Half-life is the time required for half of the radioactive atoms in a sample to decay.