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Describe how the sequences below are related.

(ii) 4, 4, 5, 6, 8, 11, 16, 24, . . .

(iii) -1, -1, 0, 1, 3, 6, 11, 19, . . .

(b) Describe how to find the next term of each sequence.

It is based on Fibonacci sequence. That states F(n)=F(n-1)+F(n-2)... so on. Where every term increased by 3, started with the term 1 and follows with 1, 1 (0+1), 2 (1+1), 3(1+2), 5 (2+3), 8 (3+5), 13 (5+8), 21 (8+13), 34 (13+21)... so on.

3 + 1 = 4

3 + 1 = 4

3 + 2 = 5

3 + 3 = 6

3 + 5 = 8

3 + 8 = 11

3 + 13 = 16

3 + 21 = 24

So, Next term of sequence is 37.

3 + 34 = 37

b)

Second series is similar but instead of +3 here -2 will be done

1-2 = -1

1-2 = -1

2-2 = 0

3-2 = 1

5-2 = 3

8-2 = 6

13-2 = 11

21-2 = 19

so next term will next term of fibonacci series -2

= 34-2 = 32

and so on

â€‹Regards

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