In this worksheet, we will practice using the general term or a recursive formula of a sequence to work out terms in the sequence.

Q1:

Find the next term in the sequence −8,16,−24,32,.

Q2:

Find the seventh term of the sequence 𝑎=𝑛−14.

Q3:

Find the first five terms of the sequence whose 𝑛th term is given by 𝑎=𝑛−14, where 𝑛≥1.

Q4:

Find the first five terms of the sequence whose 𝑛th term is given by 𝑎=5𝑛−12.

Q5:

Which of the following is an expression for the general term of the sequence 52,84,116,148?

Q6:

Find the eighth term of the sequence whose 𝑛th term is given by 𝑎=63𝑛−2, where 𝑛∈ℤ.

Q7:

Find the first five terms of the sequence whose 𝑛th term is given by 𝑎=5𝑛+𝑛.

Q8:

Find the first five terms of the sequence whose 𝑛th term is given by 𝑎=(−1)𝑛, where 𝑛≥1.

Q9:

Which of the following represents the general term of the sequence 2,−5,10,−17,…?

Q10:

Find the first five terms of the sequence 𝑎, given 𝑎=(−1)9𝑎, 𝑛≥1, and 𝑎=−11.

Download the Nagwa Practice app to access 20 additional questions for this lesson!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.