passpadi

2004

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,U4 =162. U4=ar(4-1) UU4 = ar3 162=6(r)3. r3=27. r=∛27. r=3. S4=(a(rn-1))/(r-1)=(6(33-1))/(3-1)=(6(27-1))/2=3×26=78

a=6,U4 =162. U4=ar(4-1) UU4 = ar3 162=6(r)3. r3=27. r=∛27. r=3. S4=(a(rn-1))/(r-1)=(6(33-1))/(3-1)=(6(27-1))/2=3×26=78
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