Question

Identify the 15th term in the following sequence 3,6,12,24

Answer 1

To answer this question first we need to find out the pattern. To do this we will subtract. Lets do it:-

24 - 12 = 12
12 - 6 = 6
6 - 3 = 3

So the pattern in this is adding by the same number, Lets do it:-

3,6,12,24,

24 + 24 = 48

3,6,12,24,48, 

48 + 48 = 96

3,6,12,24,48,96

96 + 96 = 192

3,6,12,24,48,96,192

192 + 192 = 384

3,6,12,24,48,96,192, 384

384 + 384 = 768

3,6,12,24,48,96,192, 384, 768

768 + 768 = 1536 

3,6,12,24,48,96,192, 384, 768, 1536

1536 + 1536 = 3072 

3,6,12,24,48,96,192, 384, 768, 1536, 3072

3072 + 3072 = 6144

3,6,12,24,48,96,192, 384, 768, 1536, 6144

6144 + 6144 = 12288

3,6,12,24,48,96,192, 384, 768, 1536, 6144, 12288

12288 + 12288 = 24576

3,6,12,24,48,96,192, 384, 768, 1536, 6144, 12288, 24576 

24576 + 24576 = 49152

3,6,12,24,48,96,192, 384, 768, 1536, 6144, 12288, 24576, 49152 

49152 + 49152 = 98304

3,6,12,24,48,96,192, 384, 768, 1536, 6144, 12288, 24576, 49152, 98304

So, d 15 term in dis pattern is 98304.

Hope I helped ya!! xD