previous * 2
Since each term after the first is the product of the preceding term and 2 (a constant which can be found by dividing any term by its predecessor and is called the common ratio, r), this is a geometric sequence.
In general, if the nth term of a geometric sequence is represented by an, then
an = a1rn-1
In our case, a = 3 and r = 2, so the formula for the sequence becomes,
an = 3 x 2n-1
F(n)=2n+24
2
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
These numbers: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384 in the following combinations equal 384: 1 x 384, 2 x 192, 3 x 128, 4 x 96, 6 x 64, 8 x 48, 12 x 32, 16 x 24, 24 x 16, 32 x 12, 48 x 8, 64 x 6, 96 x 4, 128 x 3, 192 x 2, 384 x 1
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)
These: 1 x 384, 2 x 192, 3 x 128, 4 x 96, 6 x 64, 8 x 48, 12 x 32, 16 x 24
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
The factors of 384 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384.
384 is divisible by: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384.
192, 384, 576, 768, 960, 1152, 1344, 1536, 1728, 1920, 2112, 2304
1 x 384, 2 x 192, 3 x 128, 4 x 96, 6 x 64, 8 x 48, 12 x 32, 16 x 24. 192 + 192
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
These numbers: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384 in the following combinations equal 384: 1 x 384, 2 x 192, 3 x 128, 4 x 96, 6 x 64, 8 x 48, 12 x 32, 16 x 24, 24 x 16, 32 x 12, 48 x 8, 64 x 6, 96 x 4, 128 x 3, 192 x 2, 384 x 1
384 = 1 x 384, 2 x 192, 3 x 128, 4 x 96, 6 x 64, 8 x 48, 12 x 32, 16 x 24, 24 x 16, 32 x 12, 48 x 8, 64 x 6, 96 x 4, 128 x 3, 192 x 2, 384 x 1
1 x 384, 2 x 192, 3 x 128, 4 x 96, 6 x 64, 8 x 48, 12 x 32, 16 x 24 = 384
12 oz can has 192 calories, so double that aprox. 384 calories
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, and 192.
384