Arithmetic sequence nth term Practice Questions (Grade 11)

Question 1easy

The first five terms of an arithmetic sequence are $12, 18, 24, 30, 36$ . What is the $11$ th term?

The common difference is $d = 6$ . With $a_1 = 12$ , the $11$ th term is $a_{11} = 12 + 10(6) = 72$ .

Question 2easy

The first five terms of an arithmetic sequence are $1, 4, 7, 10, 13$ . What is the $16$ th term?

The common difference is $d = 3$ . With $a_1 = 1$ , the $16$ th term is $a_{16} = 1 + 15(3) = 46$ .

Question 3easy

The first five terms of an arithmetic sequence are $6, 11, 16, 21, 26$ . What is the $13$ th term?

The common difference is $d = 5$ . With $a_1 = 6$ , the $13$ th term is $a_{13} = 6 + 12(5) = 66$ .

Question 4easy

The first five terms of an arithmetic sequence are $2, 6, 10, 14, 18$ . What is the $17$ th term?

The common difference is $d = 4$ . With $a_1 = 2$ , the $17$ th term is $a_{17} = 2 + 16(4) = 66$ .

Question 5medium

The first five terms of an arithmetic sequence are $5, 9, 13, 17, 21$ . What is the $20$ th term?

The common difference is $d = 4$ . With $a_1 = 5$ , the $20$ th term is $a_{20} = 5 + 19(4) = 81$ .

Question 6medium

The first five terms of an arithmetic sequence are $25, 22, 19, 16, 13$ . What is the $15$ th term?

The common difference is $d = -3$ . With $a_1 = 25$ , the $15$ th term is $a_{15} = 25 + 14(-3) = -17$ .

Question 7medium

The first five terms of an arithmetic sequence are $8, 14, 20, 26, 32$ . What is the $18$ th term?

The common difference is $d = 6$ . With $a_1 = 8$ , the $18$ th term is $a_{18} = 8 + 17(6) = 110$ .

Question 8medium

The first five terms of an arithmetic sequence are $40, 35, 30, 25, 20$ . What is the $12$ th term?

The common difference is $d = -5$ . With $a_1 = 40$ , the $12$ th term is $a_{12} = 40 + 11(-5) = -15$ .

Arithmetic sequence nth term practice