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How many terms are identical in the two APs 1 3 5 up to 120 terms and 3 6 9?
Wiki User
∙ 10y ago
As 3 x 2 = 2 x 3 then every 3rd term starting with the number 3 (the second term) in the first AP matches a value in the second AP.
So we have 1 3 5 7 9 11 13 15 ...(the numbers in bold type appear in both APs)
As 3 is the 2nd term then the 122nd term will also match but we are limited to 120 terms so the last matching term is the 119th.
119 - 2 = 117
117 ÷ 3 = 39 but 1 needs to be added as inclusive numbers are required.
The number of matching terms is thus 40.
Wiki User
∙ 10y ago
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