3 (the start point)
3 * 4 = 12
12 * 4 = 48
48 * 4 = 192
192 * 4 = 768
768 * 4 = 3072
3072 * 4 = 12288
12288 * 4 =49152
49152 * 4 = 196608
......... and so on
1223
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The prime factors of 192 are 2 and 3. The prime factorization of 192 is 2*2*2*2*2*2*3, or 2^6*3. 192/2 = 96 96/2 = 48 48/2 = 24 24/2 = 12 12/2 = 6 6/2 = 3 A prime number is only divisible by itself and by 1. Therefore the prime factors of 192 are 1, 2, & 3.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, and 192.
1 x 192, 2 x 96, 3 x 64, 4 x 48, 6 x 32, 8 x 24, 12 x 16.
The factor pairs of 192 are (192, 1) (96, 2) (64, 3) (48, 4) (32, 6) (24, 8) (16, 12) None of them add up to 72.
What is the eighth term of the geometric sequence 3, 12, 48, 192, ... ?
The factor is 4. 12288/192 = 64 ie 4 cubed, so it is the next term but two, ie the seventh. (192, 768, 3072, 12288)
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
sqrt 192 sqrt 48*4 2sqrt 48 2sqrt 12*4 4sqrt 12 4sqrt 4*3 8sqrt 3
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
768
192 has 14 factors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192.
The factors of 192 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
That series of numbers is a geometric progression. Each successive number is multiplied by 4. Therefore, after 12 x 4 = 48 comes 48 x 4 = 192, and after 192 comes 192 x 4 = 768.
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192.