(4)
Consider the arithmetic sequence 71,68,65,........ .
a) What is its common difference ?
b) What is the algebraic form of this sequence ?
c) Is 0 a term of this sequence ?
d) How many positive numbers are in this sequence ? (4)
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Answer:
a)d=68-71=(-3)
Therefore, the common difference is (-3).
b)a=71, d=(-3)
An=a+(n-1)d
An=71+(n-1)(-3)
An=71-3n+3
An=71+3-3n
An=74+3n
Therefore, the algebraic form of this sequence is 74+3n.
c)No, 0 is not 0 a term of this sequence.
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