GP - 8 items

Determine the first eight members of a geometric progression if a9=512, q=2

Result

a1 =  2
a2 =  4
a3 =  8
a4 =  16
a5 =  32
a6 =  64
a7 =  128
a8 =  256

Solution:

a1=512/291=2a_1=512/2^{ 9-1 }=2
a2=512/292=4a_2=512/2^{ 9-2 }=4
a3=512/293=8a_3=512/2^{ 9-3 }=8
a4=512/294=16a_4=512/2^{ 9-4 }=16
a5=512/295=32a_5=512/2^{ 9-5 }=32
a6=512/296=64a_6=512/2^{ 9-6 }=64
a7=512/297=128a_7=512/2^{ 9-7 }=128
a8=512/298=256a_8=512/2^{ 9-8 }=256



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