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QuestionFind the next number in the sequence: 6,3,12,9,36,336, 3, 12, 9, 36, 33.

Studdy Solution

STEP 1

Assumptions1. The sequence given is6,3,12,9,36,33. The sequence follows a certain pattern that we need to identify3. The sequence is not random

STEP 2

Observe the given sequence and try to identify a pattern.6,,12,9,36,336,,12,9,36,33

STEP 3

Notice that the sequence alternates between multiplying by2 and subtracting3.
6×2=126 \times2 =1212−3=912 -3 =99×=369 \times =3636−3=3336 -3 =33

STEP 4

The multiplication factor seems to be increasing by2 each time. So, the next multiplication factor should be6.

STEP 5

Apply the identified pattern to find the next number in the sequence. Multiply the last number in the sequence by the next multiplication factor.
33×33 \times

STEP 6

Calculate the result of the multiplication.
33×6=19833 \times6 =198

STEP 7

The next step in the pattern is to subtract3. So, subtract3 from the result of the multiplication.
198−3198 -3

STEP 8

Calculate the result of the subtraction.
198−3=195198 -3 =195The next number in the sequence is195.

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