Growing Patterns

We have been creating, analyzing and growing patterns for a couple of weeks. One of the best things we learned was how to use "the math V." It helps analyze number patterns to figure out what the rule of the pattern is.

What do you think about this pattern?
                    Do you know what comes next?
              
                                      35,  42,  48,  53,  57,  60,  62,  ?

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