Find the missing term in the given series. $24, 28, 19, 35, 10, ?$

This is an alternating series with two interleaved patterns. Odd positions (24, 19, 10): 24-5=19, 19-9=10 (differences increase by 4 each time: 5, 9, next would be 13). Even positions (28, 35, ?): 28+7=35, 35+11=46 (differences increase by 4 each time: 7, 11). The missing term is 46. The pattern uses addition for even positions and subtraction for odd positions.