Arithmetic Sequence and Series Quiz

3, 10, 17, 24, 31, 38 For the arithmetic sequence above, it is true to say that it is

• an infinite sequence with a = 3 and d = 7

• an infinite sequence with a = 7 and d = 3

• an infinite sequence with t2 = 10 and d = 7

• a finite sequence with a = 3 and d = 7

• a finite sequence with a = 7 and d = 3

Which of the following could be the first five terms of an arithmetic sequence?

• 1, 3, 9, 12, 15, . . .

• −266, −176, −86, 4, 94, . .

• 3, 3, 6, 6, 9, . .

• 0, 1, 2, 4, 8, . . .

• −3, −1, 0, 1, 3, . . .

The 41st term of the arithmetic sequence −4.3, −2.1, 0.1, 2.3, 4.5, . . . is:

• 83.7

• 85.9

• 92.3

• 172.4

• 178.5

The 2nd term of an arithmetic sequence is −2 and the 5th term is 2.5. The 27th term of this sequence is:

• 32.5

• 35.5

• 42.5

• 89.5

• 96

The numbers 8, 1 and −6 form the first three terms of an arithmetic sequence. In this arithmetic sequence the term which is equal to −258 is the:

• 30th

• 32nd

• 37th

• 39th

• 42nd

The sum of the first 21 terms of the sequence, 0, −3 , −7, −10 , −14, . . . is:

• −1470

• −735

• −700

• 36.75

• 735

The first term of an arithmetic sequence is −5.2 and the 2nd is −6. The sum of the first 22 terms of the sequence is:

• −598.4

• −299.2

• −242

• −70.4

• 70.4