Respuesta :

a₁   a₂     a₃    a₄     a₅     a₆    a₇ ......
3,  13,    22,   30,   37,   43…?.....

We notice that 
a₂ = a₁ + 10 = 13
a₃ = a₂ + 9  =  22
a₄ = a₃ + 8  = 30
a₅ = a₄ + 7  = 37
a₆ = a₅ + 6  =  43
a₇ = a₆ + 5   = 48    

Answer: The next number is 48.

Step-by-step explanation: The difference between 3 and 13 is ten. The difference between 13 and 22 is nine. The difference between 22 and 30 is eight. Notice the pattern? the difference between the patterns is a decreasing number. Therefore, the next number is 48.