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 $98$.