What is the 6th term of the following geometric sequence?42, 6

QUESTION POSTED AT 01/06/2020 - 04:05 PM

Answered by admin AT 01/06/2020 - 04:05 PM

I GUESS YOU ARE GIVING THE FIRST 2 NUMBER OF THE SEQUENCE.
If so, the common ratio is r =6/42 and r=1/7.
Calculate the 6th term of this geometric sequence.

If the 1st term is 42, the common ratio = 1/7 and the number of term =6,
then we can apply the formula:
a(n) = a₁(r)ⁿ-1

a₆ = 42(1/7)⁵; a₆ = 42/(7⁵) = 42/16807, simplify numerator & denominator by 7

final answer a₆ = 6/2401
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