Question

Its about sequences and i barley understand pls help

Answer 1

3) The value of a2, a3, a4 and a5 are -2, 10, 70, 4690

4) The value of b3, b4 and b5 are 4, 1 and 9 respectively

What are Recursive functions?

A recursive function is a partial function from natural numbers to natural numbers that is "computable"

3) Given the following recursive rule expressed as;

an = (an-1)²-3an-1

a1 = 2

For a2;

a2 = a1² - 3a1

a2 = 2² -3(2)

a2 = -2

For a3;

a3 = a2² - 3a2

a3 = (-2)² -3(-2)

a3 = 10

For a4;

a4 = a3² - 3a3

a4 = 10² -3(10)

a4 = 70

For a5;

a5 = a4² - 3a4

a5 = 70² -3(70)

a5 = 4900-210

a5= 4690

4) For the recursive function (bn-1 - bn-2)² where b1 = 3 and b2 = 5

b3 = (b2 - b1)²

b3 = (5-3)^2

b3 = 4

For b4;

b4 = (b3 - b2)²

b4 = (4-5)^2

b4 = 1

For b5;

b5 = (b4 - b3)²

b5 = (1-4)^2

b5 = 9

Hence the value of b3, b4 and b5 are 4, 1 and 9 respectively

Learn more on recursive function here: brainly.com/question/11316313

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