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How many arithmetic progressions with 10 terms are there whose first term in the set {1, 2, 3} and whose common difference is in the set {2, 3, 4}? |
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Answer» Given: Two sets: {1, 2, 3} & {2, 3, 4} To find: number of A.P. with 10n terms whose first term is in the set {1, 2, 3} and whose common difference is in the set {2, 3, 4} Number of arithmetic progressions with 10 terms whose first term are in the set {1, 2, 3} and whose common difference is in the set {2, 3, 4} are: 3 × 3 = 9 (3 because there are three elements in the set {1, 2, 3} and another 3 because there are three elements in the set {2, 3, 4}) |
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