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# 1. The first term of an arithmetic sequence is 7 and the sixth term is 22. Find (a) the common difference;

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(1)

(2)

(2)

## (c) the sum of the first 100 terms.

(2) (Total 6 marks)

th

th

(Total 4 marks)

th

(Total 8 marks)

(2)

2

## (b) Using your graphic display calculator or otherwise, find the number of terms, n.

(6) (Total 8 marks)

(3)

## (b) Find the total number of singers in the choir.

(3) (Total 6 marks)

1

1

1

(Total 8 marks)

(3)

(3)

## (b) Find the total number of singers in the choir.

(3) (Total 6 marks)

(1)

(1)

(1)

th

## Find the value of n.

(3) (Total 6 marks)

(3)

(3)

(4)

1

2

4

(1)

(2)

k

## (c) Find the value of k.

(3) (Total 6 marks)

(2)

(1)

(1)

## (c) Calculate the sum of the first 200 terms.

(2) (Total 6 marks)

(5)

(3)

(1)

(1)

th

(2)

## (e) Find the sum of the first 15 terms of the sequence.

(2) (Total 9 marks)

th

n

(2)

(2)

k

k + 1

## , have a sum of 34. Find k.

(3) (Total 7 marks)

(6)

## (b) Calculate the value of n.

(Total 8 marks)

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