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An Arithmetic Progression has 23 terms, the sum of the middle three terms of this arithmetic progression is 720, and the sum of the last three terms of this Arithmetic Progression is 1320. What is the 18th term of this Arithmetic Progression?
240
360
340
440
The middle three terms of this Arithmetic Progression represent the eleventh, twelth & thirteenth term. The average of these three terms will represent the twelth term i.e. the 12th term will be 720/3 = 240. The average of the last three terms will be the twenty second term i.e. 1320/3 = 440 The difference of twenty second term and the twelth term will give us ten times the difference i.e. 440 – 240 = 200/10 = 20 will be the difference. If the twelth term is 240, the 18th term will be 240 + 6d i.e. 240 + 6 * 20 = 360 will be the 18th term.
By: Amit Kumar ProfileResourcesReport error
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