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Mathematics
JAMB
Given that the first and forth terms of G.P are 6 and 162 respectively, find the sum of the first three terms of the progression
A.
27
B.
8
C.
78
D.
48
Correct Answer:
78
Explanation
a=6,U
4
=162. U
4
=ar
(4-1)
UU
4
= ar
3
162=6(r)
3
. r
3
=27. r=∛27. r=3. S
4
=(a(r
n
-1))/(r-1)=(6(3
3
-1))/(3-1)=(6(27-1))/2=3×26=78
a=6,U
4
=162. U
4
=ar
(4-1)
UU
4
= ar
3
162=6(r)
3
. r
3
=27. r=∛27. r=3. S
4
=(a(r
n
-1))/(r-1)=(6(3
3
-1))/(3-1)=(6(27-1))/2=3×26=78
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