3.3 Warm Up [DISCRETE] 11.21.24

Front

Identify the common difference in the sequence: 97, 86, 75, 64, ...

Back

-11

Front

What is a formula that requires the computation of all previous terms to find the value of a_n?

Back

Recursive Formula

Front

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

Back

-146

Front

Determine the 3rd term of the sequence where a_1=5 and a_n= 2a_n-1 - 1.

Back

17

Front

What does 'r' represent in sequences?

Back

Common ratio

Front

What is the definition of an arithmetic sequence?

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

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

Back

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

Front

What is the common difference in the sequence: 10, 15, 20, 25, ...?

Back

5

Front

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

Back

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

Front

What is the difference between an explicit formula and a recursive formula?

Back

An explicit formula gives a direct computation for a_n, while a recursive formula defines a_n in terms of previous terms.