Question

Complete the series choosing the missing number:
3, 15, 63, 255, 1023, ______

Answer 1

ANSWER
STEP BY STEP EXPLANATION

4-1=3
4×4=16-1=15
4×4×4=64-1=63
4×4×4×4=256-1=225
4×4×4×4×4=1024-1=1023
4×4×4×4×4×4=4096-1=4085
SO next no. is 4085
Series will be 3,15,63,225,1023,4085
HOPE IT HELPS YOU

Answer 2

3 , 15, 63 , 255 , 1023 , 4095

Solution:

Given sequence:

3 , 15, 63 , 255 , 1023 , ..

We have to find the next number

Let us analyse the logic used here

$4 - 1 = 3\\\\4 \times 4 - 1 = 16 - 1 = 15\\\\4 \times 4 \times 4 - 1 = 64 - 1 = 63\\\\4 \times 4 \times 4 \times 4 - 1 = 256-1=255\\\\4 \times 4 \times 4 \times 4 \times 4 - 1 = 1024-1=1023\\\\Thus\ next\ term\ is\\\\4 \times 4 \times 4 \times 4 \times 4 \times 4 - 1 = 4096-1=4095$

Thus the next term is 4095

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