2. a) Write the next two terms of the following sequence and write the rule. ( /3) 11, 15, 19, 23, 27, ,

Rule:

b) Write an example of a Fibonacci sequence.

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See answers below

Step-by-step explanation:

Given the sequence

11, 15, 19, 23, 27, ,

nth term is expressed as Tn = a +(n-1)d

a= 11

d = 15-11 = 19-15 = 4

n = 6 and 7

for the sixth term,

T6 = 11 +5d

T6 = 11 + 5(4)

T6 = 20

for the 7th term,

T7 = 11 +6d

T7 = 11 + 6(4)

T7 = 11+24

T7 = 35

Rule used Tn = a + (n-1)d

b) Example of a Fibonacci sequence is 1,1, 2, 3, 5, 8, 11...

The sum of the two previous term of a Fibonacci sequence gives the next term. That is how the sequence was constructed