Here are the first five terms of a number sequence.
The 5th term, 256, of the sequence ends with the number 6
What number does the 29th term of the sequence end with ?
- JOHNNIELv 58 years agoFavorite Answer
From above, we can see this is a geometric sequence with a common ratio which is 4.
4 x 4 = 16
6 x 4 = 24
44 x 4 = 176
44 x 6 = 264
From the above examples, we can note that whenever 4 x 4, the last digit of the answer must be 6, while 6 x 4, the last digit of the answer must be 4.
For instance, if we expand the sequence, we can see 1,4,16,64,256,1024,,4096...
The last digits of the answers(apart from the first one), goes with 4, 6, 4, 6....
As we can see, for all the odd terms of the sequence (apart form the first one), all ends with 6.
Therefore, for the last digit of the 29th of the sequence is also 6.
- myisland8132Lv 78 years ago