find the 5th term if a G.P is 1/4 and 11th term os 1/256 . find the 15th term
gnsurabhi:
is 5th term 1/4 or a=1/4
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Answer:
given:
ar^4=1/4------->eq 1
ar^10=1/256----->eq 2
find: ar^14
solution:
divide eq 2 by eq 1, we get
ar^4/ar^10 = 1/256 whole divided by 1/4
i.e. r^10-4 = 4/256
r^6 = 1/64
r^6 = (1/2)^6
r=1/2.
wkt, ar^4 = 1/4
therefore, a=4.
=ar^14
=4(1/2)^14
=4×(1/16384)
=1/4096
Step-by-step explanation:
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