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The number is being doubled and summed with 1. That is: (4*2)+1 = 9; (9*2) + 1 = 19 ...

Your answer is 39.

The pattern followed in this sequence is n(2) + 1 and the missing term is 39.

What is a sequence of numbers?

A sequence is an ordered list of elements with a specific pattern. Patterns are useful to predict what came before or what might come after a set of numbers that are arranged in a particular order. This arrangement of numbers is called a sequence.

For the given situation,

The sequence is 4,9,19, __ ,79.

The pattern followed in this sequence is the number is multiplied by 2 and add 1 with them.

⇒ [tex]n(2)+1[/tex]

⇒ [tex]4, 4(2)+1, 9(2)+1, 19(2)+1,39(2)+1[/tex]

⇒ [tex]4,9,19,39,79[/tex]

Hence we can conclude that the pattern followed in this sequence is n(2) + 1 and the missing term is 39.

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