Algebra 1B Unit 1 Lesson 5

The explicit formula for a sequence is an=12−5(n−1) What is the 30th term of the sequence? Enter your answer as a number, like this: 42

-133

What is the common difference between the terms in the following sequence? {17,11,5,−1,−7...}

-6

The explicit formula for a sequence is an=−1+3(n−1) What is the 55th term of the sequence? Enter your answer as a number, like this: 42

161

The explicit formula for a sequence is an=−2+32(n−1) What is the 21st term of the sequence? Enter your answer as a number, like this: 42

28

Use the given terms of the sequence to answer the question. a1=10 a2=6 a3=2 a4= −2 Which recursive formula represents the sequence?

a1=10 an=an−1−4

The first term in a sequence is 9. Each value in the sequence is 4 more than the previous value. What is the recursive formula for this sequence?

a1=9 and an=an−1+4

A sequence has the explicit formula an=−4+7(n−1). What is the recursive formula for the sequence?

a1=−4 an=an−1+7

A sequence has an initial term a1=22 and a recursive formula an=an−1−10 What is the explicit formula for the sequence?

an=22−10(n−1)

The following table represents an arithmetic sequence. (1,-2) (2,3) (3,8) (4,13) Which explicit formula represents the sequence?

an=−2+5(n−1)

What is the recursive formula for the sequence {−4,−1,2,5,...}?

f(1)=−4 and f(n+1)=f(n)+3

Examine the following graph. https://assets.learnosity.com/organisations/625/asset/media/1155244 What is the explicit formula represented by this graph?

f(n)=1−3(n−1)

Which function correctly represents the arithmetic sequence {20,23,26,29,32}? Note: All functions have a domain of the natural numbers.

f(n)=3n+17