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1. In an arithmetic sequence u1

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IB Questionbank Maths SL 1

1. In an arithmetic sequence u

1

= 7, u

20

= 64 and u

n

= 3709.

(a) Find the value of the common difference.

(3)

(b) Find the value of n.

(2) (Total 5 marks)

2. In an arithmetic sequence, the first term is 5 and the fourth term is 40. Find the second term.

Working:

Answer:

...

(Total 4 marks)

3. Consider the arithmetic sequence 2, 5, 8, 11, ....

(a) Find u

101

.

(3)

(b) Find the value of n so that u

n

= 152.

(3) (Total 6 marks)

(2)

IB Questionbank Maths SL 2

4. In an arithmetic sequence, the first term is –2, the fourth term is 16, and the n

th

term is 11 998.

(a) Find the common difference d.

(b) Find the value of n.

Working:

Answers:

(a) ...

(b) ...

(Total 6 marks)

5. The first term of an arithmetic sequence is 3 and the sum of the first two terms is 11.

(a) Write down the second term of this sequence.

(1)

(b) Write down the common difference of this sequence.

(1)

(c) Write down the fourth term of this sequence.

(1)

(d) The n

th

term is the first term in this sequence greater than 1000.

Find the value of n.

(3) (Total 6 marks)

6. The fourth term of an arithmetic sequence is 12 and the tenth term is 42.

(a) Given that the first term is u

1

and the common difference is d, write down two equations in u

1

and d that satisfy this information.

(b) Solve the equations to find the values of u

1

and d.

(Total 8 marks)

Cytaty

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