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.
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)