Asked by Anonymous
If the 2nd term of a geometri progression is 6 and 4Th term is 54 find the 1st term and 5Th term
Answers
Answered by
mathhelper
Just apply the given data to our definitions:
ar = 6
ar^3 = 54
divide the 2nd by the first
ar^3/(ar) = 54/6
r^2 = 9
r = ± 3
go back to ar = 6
if r = 3, 3a = 6, a = 2
if r = -3, -3a = 6, a = -2
5th term = ar^4 = ..... , remember there are 2 cases.
ar = 6
ar^3 = 54
divide the 2nd by the first
ar^3/(ar) = 54/6
r^2 = 9
r = ± 3
go back to ar = 6
if r = 3, 3a = 6, a = 2
if r = -3, -3a = 6, a = -2
5th term = ar^4 = ..... , remember there are 2 cases.
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