Arithmetic sequences

1003057901

Level:

The

20

th term of an arithmetic sequence is

150

and the common difference is

3

. Find the first term.

93

90

87

210

207

1003057902

Level:

The

13

th term of an arithmetic sequence is

64

and the

21

st term is

32

. Find the common difference.

- 4

4

8

- 8

2

1003057903

Level:

The

17

th term of an arithmetic sequence is

77

and the common difference is

9

. Choose the correct formula of calculation of the

5

th term.

a_{5} = 77 - 12 \cdot 9

a_{5} = 17 - 12 \cdot 9

a_{5} = 12 \cdot 9 - 77

a_{5} = 77 - 16 \cdot 9

a_{5} = 77 + 12 \cdot 9

1003057904

Level:

The

2

nd term of an arithmetic sequence is

3

and the

14

th term is

51

. Choose the incorrect formula:

a_{20} = a_{2} + (51 - 3) \cdot 18

a_{20} = 75

a_{20} = a_{14} + 6 \cdot 4

a_{20} = a_{2} + 18 \cdot 4

a_{20} = 3 + \frac{18}{12} (a_{14} - a_{2})

1003057905

Level:

The

n

th term of an arithmetic sequence is

76

, the common difference is

6

and the first term is

- 2

. Find the

n

14

12

13

15

11

1003085101

Level:

The second term of an arithmetic sequence is

3

and the fourth term is

- 1

. Find the recursive formula for the sequence.

a_{1} = 5; a_{n + 1} = a_{n} - 2 for all n \in N

a_{1} = 2; a_{n + 1} = a_{n} - 2 for all n \in N

a_{1} = 3; a_{n + 1} = a_{n} - 1 for all n \in N

a_{1} = 5; a_{n + 1} = a_{n} - 4 for all n \in N

a_{1} = 3; a_{n + 1} = a_{n} - 4 for all n \in N

1003085102

Level:

The first term of an arithmetic sequence is

6

and the sixth term is

1

. Find the recursive formula for the sequence.

a_{1} = 6; a_{n + 1} = a_{n} - 1 for all n \in N

a_{1} = 6; a_{n + 1} = a_{n} + 1 for all n \in N

a_{1} = 1; a_{n + 1} = a_{n} + 5 for all n \in N

a_{1} = 1; a_{n + 1} = a_{n} - 5 for all n \in N

1003085103

Level:

The third term of an arithmetic sequence is

3

and the common difference is

3

. Find the

n

th term.

a_{n} = 3 n - 6 for all n \in N

a_{n} = 3 n - 3 for all n \in N

a_{n} = 3 n for all n \in N

a_{n} = 3 n + 3 for all n \in N

a_{n} = 3 n + 6 for all n \in N

1003085104

Level:

The

n

th term of an arithmetic sequence is

1 - 3 n

. Find the

5

th term and the common difference.

a_{5} = - 14; d = - 3

a_{5} = - 2; d = - 3

a_{5} = 14; d = - 3

a_{5} = - 14; d = 3

a_{5} = - 2; d = 3

1003085208

Level:

Given an arithmetic sequence

(a_{n})_{n = 1}^{\infty}

, where

a_{8} = \frac{8}{3}

a_{k} = 8

and the common difference is

\frac{2}{3}

, find

k

16

15

14

21

10

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