Sunday, 16 July 2017

GEOM. PROGRESSION 2


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
  242

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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