Subjects algebra

Find Seventh Term

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Find Seventh Term


1. The problem gives the sequence: 50, 53, 58, 65 and asks for the seventh term. 2. First, find the pattern. Calculate the differences between consecutive terms: $$53 - 50 = 3$$ $$58 - 53 = 5$$ $$65 - 58 = 7$$ 3. The differences are 3, 5, 7 which increase by 2 each time. So the sequence increases by odd numbers starting at 3. 4. Continuing the difference pattern: next differences after 7 are 9, 11, 13. 5. Calculate the fifth term: $$65 + 9 = 74$$ 6. Sixth term: $$74 + 11 = 85$$ 7. Seventh term: $$85 + 13 = 98$$ Final answer: The seventh term is $98$.