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Sholpan [36]
3 years ago
8

The value of the 4th term is 80. the sequence is being doubled each step what is the 7th term?

Mathematics
1 answer:
leva [86]3 years ago
8 0
This is a geometric sequence with common ratio (r) = 2.
an = ar^(n - 1)
a4 = a(2)^(4 - 1) = a(2)^3 = 8a
8a = 80
a = 80/8 = 10

7th term (a7) = 10(2)^(7 - 1) = 10(2^6) = 10(64) = 640
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explanation
  ------------------------------------------------------------------------
  !   Inches        !     Inches    !  Pounds   !       Pounds      !
  !   9 : 10          !       Sum     !                 !          sum        !
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  ------------------------------------------------------------------------\
  !       0,9          ! 0.9*2 = 1,8 !       10      !      2*10 = 2 0   !
  !       0,9          !                   !        10      !                         !
   -----------------------------------------------------------------------
  !       0,9          ! 0,9*3 = 2,7 !        10     !                         !
  !       0,9          !                   !        10      !      3*10 = 30   !
  !       0,9          !                   !         10     !                         !
  -------------------------------------------------------------------------
  <span>for every pound falls 0.9 inches
</span><span>derived unit of proportion : 

</span><span>\frac{9 inches}{100 pounds} = \frac{0,9 inches}{10pounds} \\ \\ = \frac{0,9 * 9 inches}{10 *9 pounds} = \frac{8,1 inches}{90pounds} </span>



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