The sum of the 1st five terms of a geometrical progression
is 484. If the common ratio is 3 find the 4th term.
Solution
S5 = 484, G1 =
?, r=3, n=5, A4=?
We use the summation formula to find the 1st
term.
Sn = G1(rn-1)/r-1
S5 = G1(r5-1)/r-1
484= G1(35-1)/3-1
484= G1(243-1)
2
2 x 484= G1(242)
968= 242 G1
4 968
= G1
G1 = 4
Now we solve for the 4th term.
Gn = G1rn-1
G4 = G1r4-1
G4 = G1r3
G4 = 4 x (3 x 3 x 3)
= 108
Hence
the 4th term is 108.
TRY THIS.........................
The sum of the 1st five terms of a geometrical progression
is 484. If the common ratio is 3 find the 7th term.
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