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Question

Give me the next three numbers in this pattern.

2, 7, 22, 67, ___, ____,___

Answer 1

7 - 2 = 5
22 - 7 = 15 = 3(5)
67 - 22 = 45 = 3(15)

Each term is adding 3 times the previous difference.

67 + 3(45) = 67 + 135 = 202

202 + 3(135) = 202 + 405 = 607

607 + 3(405) = 607 + 1215 = 1822

So the next three numbers are
202, 607, and 1822

Answer 2

To go from 2 to 7, you add 5.
To go from 7 to 22, you add 15.
To go from 22 to 67, you add 45.

The amount by which each number increases is three times the previous amount in each case.

So, the next three numbers would be...

67 + 135 = 202
202 + 405 = 607
607 + 1215 = 1822

2, 7, 22, 67, 202, 607, 1822.

Answer 3

7 - 2 = 5
22 - 7 = 15
67 - 22 = 45
Each time the difference is 3 times larger than before. So the next 3 terms are:
67 + 45*3 = 202
202 + 135*3 = 607
607 + 405*3 = 1822

Answer 4

To go from 2 to 7, you add 5.
To go from 7 to 22, you add 15.
To go from 22 to 67, you add 45.

The amount by which each number increases is three times the previous amount in each case.

So, the next three numbers would be...

67 + 135 = 202
202 + 405 = 607
607 + 1215 = 1822

2, 7, 22, 67, 202, 607, 1822.

Answer 5

2, 7, 22, 67, 202, 607, 1822.

Each number is the previous number multiplied by 3 and with 1 added.

Answer 6

2 x 3 + 1 = 7
7 x 3 + 1 = 22
22 x 3 x 1 = 67
67 x 3 + 1 = 202
202 x 3 + 1 = 607
607 x 3 + 1 = 1822

Answer 7

The next three in the sequence are 202, 607, and 1822.

The pattern is that the amount you add triples each time.

Start at 2, add 5 to get 7
7 - add 15 (3*5) to get 22
22 - add 45 (3*15) to get 67
67 - add 135 (3*45) to get 202
202 - add 405 (3*135) to get 607
607 - add 1215 (3*405) to get 1822

And so on.

EDIT - I caught my goofs starting with 112 - Thanks.

Answer 8

how about 202, 607, 1822

Answer 9

67+135=202
202+(3*135)=607
607+(3*405)=1822

202-607-1822