Interactive NAT Grade 10 Reviewer (Mathematics) Part 3

1➤ What is the next term in the geometric sequence 4, -12, 36, . . .?

-42-52-72-108

2➤ Find the common difference in the arithmetic sequence 6, 4, 2, 0, . . .

½ 12-2

3➤ What is the 10th term of the arithmetic sequence 2, 5, 8, 11, . . . ?

27292831

4➤ Which term of the arithmetic sequence 4, 1, -2, -5, . . . is -29 ?

9th term10th term11th term12 term

5➤ The fourth term of an arithmetic sequence is9 and the 15th term is 31. What is the common difference ?

23-2-3

6➤ What is the first term of the arithmetic sequence in #5 ?

7532

7➤ What is nth term of the arithmetic sequence 7, 9, 11, 13, 15, . . .?

. an = 3n + 4 an = 4n + 3 an = n + 2 an = 2n + 5

8➤ What is the next term in the harmonic sequence 1/11 , 1/15, 1/19, 1/23 , . . . ?

27251/251/27

9➤ What is the 10th term of the geometric sequence -1, 2, -4, 8, -16, . . . ?

512-5121024-1024

10➤ What is the next term of the Fibonacci sequence 1, 1, 2, 3, 5, 8, . . . ?

13161920

11➤ Which set of numbers is an example of a Fibonacci sequence ?

A. 2, 6, 18, 54½, ¼, 1/6, 1/80, 2, 3, 5, 8, 131, 1, 2, 3, 5, 8, 13

12➤ If three arithmetic means are inserted between 11 and 39, what is the second arithmetic mean?

18 253246

13➤ If three geometric means are inserted between 1 and 256, what is the third geometric mean?

6432164

14➤ Find the arithmetic mean of 8 and 22.

10121415

15➤ What must be the value of k so that 5k – 3, k + 2 and 3k – 11 will form an arithmetic sequence?

3-32-2

16➤ Find the 8th term of a geometric sequence whose 3rd term is 27 and the common ratio is 3.

218765611968359049

17➤ The 6th term of the sequence whose general term is an = 3n - 7

11121314

18➤ For the sequence an = 2n – 1, find the sum of the first 5 terms.

23242526

19➤ Find the sum of the first 10 terms of the arithmetic sequence whose first term is 5 and whose last term is 40.

225200450400

20➤ Find the sum of integers from 1 and 100.

5050464625502500

21➤ What is the common ratio of the geometric sequence 8, -4, 2, -1 . . . ?

-22-1/2½

22➤ Find the positive geometric mean between 4 and 100.

10203040

23➤ Which of the following is the sum of the multiples of 3 from 15 to 48?

315360378396

24➤ Find the sum of the first 5 terms of the sequence 3, 6, 12, . . .

93949596

25➤ Find k so that the numbers 2k + 1, 3k + 4 and 7k + 6 form a geometric sequence.

2; -1-2; 12; 1 -2; 120

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