3.1 Given the linear pattern: 2*x* + 1 ; 3*x* + 3 ; 4*x* + 5 ; . . .

3.1.1 Write down the next term in the pattern. (1)

3.1.2 Write, in terms of *x*, the formula for T_{n}, the general term of the pattern. (3)

3.1.3 If the value of the 13^{th} term of the pattern is 95, calculate the value of *x*. (2)

3.1.4 If *x *= 5, determine the largest value of *n *for which T_{n} < 158. (3)

3.2 An air-traffic control tower is constructed at an airport. The front view of the tower is

shown in the diagram below. AB, the first horizontal support from the bottom, is

7,9 m long and is secured to the ground. Additional horizontal supports are secured

parallel to AB and are 50 cm apart. Each additional support above 10 cm shorter

than the one below it. CD is the 45^{th} horizontal support. AD and BC are lateral

supports on which the horizontal supports are secured.

3.2.1 Calculate the height (H), in cm, of the tower. (1)

3.2.2 Calculate the length, in metres, of the 45^{th} horizontal support. (3)

3.2.3 Calculate the area, in square metres, enclosed by supports AB, BC, CD

and AD. (3)

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