Sequence and nth Term Flashcards

1
Q

Here are the first five terms in a number sequence.
7 10 13 16 19

a)Find the 10th term in this number sequence
b) Write an expression, in term of n, for the nth term of this number sequence

A

a) 34
b) 3n+4

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2
Q

A number sequence has nth term 6n+3
a) Write down the first four terms of this sequence.
b) Is 1008 in this sequence?

A

a) 9,15,21,27
b) No

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3
Q

A sequence of numbers is shown below.
1 5 9 13 17…
a) Find an expression for the nth term of the sequence
b) Is 95 in this sequence?

A

a)4n-3
b)No

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4
Q

The nth term of a number sequence is given by 5n+2
Work out the first five terms of the number sequence

A

7, 12, 17, 22, 27

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5
Q

Here are the first five terms of a number sequence
5 11 17 23 28
Find, in terms of n, an expression for the nth terms of this sequence

A

6n-1

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6
Q

A sequence of numbers is shown
2 9 16 23 30…
a) find an expression for the nth term of the sequence
b) find the 100th term in the sequence

A

a) 7n-5
b) 695

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7
Q

The nth term a number sequence is n²+3
a) find the first three terms of this sequence
b) work out the difference between the 5th and 10th terms in the sequence

A

a)4, 7, 12
b)75

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8
Q

Here are first five terms in a number sequence
10 7 4 1 -2…
a) work out the nth term of the sequence.
b) find the 50th term of this sequence

A

a) 13-3n
b) -137

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9
Q

Work out the nth term for this sequence
12 22 32 42 52…

A

10n+2

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10
Q

The nth term of a sequence is 3n-2
a) write down the first two terms of this sequence
b) which term of the sequence is equal to 70?
c) is 101 in this sequence?

A

a) 1, 4
b) 24th
c) Ni

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11
Q

The nth term of a sequence is 4n-7
a) what is the difference between the 30h and 51st terms?

The last term of this sequence is 393.
b) how many terms are there in this sequence?

A

a) 84
b) 100

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12
Q

Find the nth term of the sequence
1, 4, 9, 16, 25…

A

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13
Q

Find the nth term of the sequence
3, 6, 11, 18, 27…

A

n²+2

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14
Q

Find the nth term of the sequence
-3, 0, 5, 12, 21…

A

n²-4

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15
Q

Find the nth term of the sequence
2, 8, 18, 32, 50…

A

2n²

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16
Q

The first 5 term in a number sequence are
30 25 20 15 10…
Work out the nth term of the sequence

A

35-5n

17
Q

The first 5 terms in a number sequence are
2 2.5 3 3.5 4…

a) work out the nth term of the sequence
b) work out the 20th term of the sequence

A

a) 0.5n+1.5
b) 11.5

18
Q

Olivia has written the first 50 terms of the sequence with nth term 150-4n
Work out which term is the first negative term

A

38t

19
Q

The nth term of a sequence is (n+1)(n+3)
Work out the first three terms of the sequence

A

8, 15, 24

20
Q

Find the nth term of the sequences
a) odd number
b) even number

A

a) 2n-1
b) 2n

21
Q

Find the nth term of the sequence
1, 1/4, 1/9, 1/16, 1/25

A

1/n²

22
Q

Find the nth term of the sequence
1, 1/8, 1/27, 1/64, 1/125

A

1/n³