Find the next 3 numbers in the pattern 3.5, 13, 41.5, 127, , , .

3 next number in the given pattern: 3.5 , 13, 41.5, 127, , , We have the first 4 given pattern, next is to find the next 3 consecutive numbers:
x = numbers we’re looking
g =given numbers

=> 3.5g + x = 13
=> 13g + x = 41.5
=> 41.5g + x = 127

Now, let’s remove the decimals, multiply by 2
=> 2(3.5) + 2x = 2(13)
=> 7 + 2x = 26

=> 2 (13) + 2x = 2(41.5)
=> 26 + 2x = 83

=> 2(41.5) + 2x = 2(127)
=>83 + 2x = 247

Now, we already have whole numbers. Next is to solve the value of x’s and g’s
2x = 26-7
26 + 26 = 7 = 83
19 + 26 = 83
19 = 57
g = 3

2x = 26 -7
2x = 26 – 7 (3)
2x = 26 – 21
2x = 5
x = 2.5

Now, let’s find the next 3 consecutive numbers
=> 127 (3) + 2.5 = 383.5
=> 383.5 (3) + 2.5 = 1153
=> 1153 (3) + 2.5 = 3461.5

The next 3 numbers are 383.5, 1153, 3461.5