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  • 08-10-2020
  • Mathematics
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the first term of a geometric progression is 12 and the second term is -6. Find the (i) the tenth term of the progression (ii) the sum to infinity

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us8765594229
us8765594229 us8765594229
  • 08-10-2020

Step-by-step explanation:

a1=ar⁰=12 A2=ar¹=-6

a=12 ar=-6

12r=-6

r=-6/12

r=-1/2

a10=ar⁹

=12*(-1/2)⁹

=12*(-512)

=-3/128

S∞ = a1 / (1-r )

=12/(1-1/2)

=12*1/2

=6

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