Question

In: Accounting

find a patternin the following sequences and write the next two terms. classify each seqences as...

find a patternin the following sequences and write the next two terms. classify each seqences as arithmetic geometic or neither                                                                                  1,4,16,64,        and     3,6,9,12

Solutions

Expert Solution

1,4,16,64….
The next number can be calculated by multiplying the previous number by (r = 4/1 = 4) or (16/4) or (64/16)
Second number (1*4)                       4
Third number (4*4)                     16
Fourth number (16*4)                     64
Fifth number (64*4)                  256
Sixth number (256*4)               1,024
1,4,16,64,256,1024…. This is a geometic sequences. Geometic
Geometic sequences is calcualuted by multiplication.
3,6,9,12…..
The next number can be calculated by adding the previous number by (d = 6 - 3 = 3) or (9-6) or (12-9)
Second number (3+3)                       6
Third number (6+3)                       9
Fourth number (9+3)                     12
Fifth number (12+3)                     15
Sixth number (15+3)                     18
3,6,9,12,15,18….. This is a arithmetic sequences. Arithmetic
Arithmetic sequences is calcualuted by addition.

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