Question

26. A sequence is defined recursively by the formula b, -4,4-2, with h -1 and b, = 3. What is the value Show the work that leads to your answer. or 27. The recursive formula to describe a sequence is represented by -2 la=1+3a. Determine the first four terms of this sequence. Can this sequence be represented using an explicit geometric formula? Justify your answer. 28. A small jet has an airspeed (the rate in still air) of 300 mi/h. During one day's flights, the pilot noted that the plane could fly 85 mi with a tailwind in the same time it took to fly 65 mi against that same wind. What was the rate of the wind?

Answer 1

O PAGE NO.: DATE: Ans (27) a = 2 anal+3 ans First Four terms a = 2 a = It 3a, Lt 3(2) = 7 az 1+3(7): 22 ay = 1 + 3 az =1+3 (22) = 67 Segn =) 27, 22, 67, - No, this sign cannot be represented usi using an explicit netric formular geometrie Pifis suppose not let the sean in has an geometric formula le 9. = 9 = q = ar = ar = ar²=22² = 22 Now from ① & ② » arazt 8 = 7/2 O Shot on OnePlus By Ut$av

gr² = 22 7 r2 = 11 2 r = 11 Now we got two different common ratio for the soon, which is contradiction 2 This sean cannot be represented using un geometric formular
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