Algebraic form of an arithmetic sequence is 3n+5
a)Does the difference of any two terms of this sequence is 200? Why?
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Step-by-step explanation:
a) An= 3n+5
a1 = 3 + 5 = 8
a2 = 6 + 5 = 11
d = a2 - a1 = 11 - 8 = 3
we have to find a term such that 3n+5 = 200
3n = 200 - 5 = 195
n = 195/3 = 65
therefore, yes 2 terms exists such that their difference is 200
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