Finite Math Number Theory Flashcard 1

Front

Divide: 5.2 x 10^11 ÷ 2 x 10^5

Back

2.6 x 10^6

Front

List the factors of 12 & 20, then identify the greatest common factor. 12- 20- GCF=

Back

12- 1, 2, 3, 4, 6, 12; 20- 1, 2, 4, 5, 10, 20; GCF = 4

Front

What is the divisibility rule for 3?

Back

Add up the digits. The sum must be divisible by 3.

Front

What is a_5 (5th term) in the sequence defined as follows? a_n = 5 ⋅ 2^(n-1)

Back

a_5 = 80

Front

Simplify: 3√20 + 4√5

Back

10√5

Front

What is the definition of a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

What is the least common multiple (LCM) of two numbers?

Back

The least common multiple of two numbers is the smallest multiple that is evenly divisible by both numbers.

Front

How do you find the GCF using prime factorization?

Back

1. Factor each number into primes. 2. Identify the common prime factors. 3. Multiply the lowest powers of these common factors.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

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

Front

What is the formula for the nth term of a geometric sequence?

Back

a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.