Question

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answer for this question....

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step by step answer ......

Answer 1

Let the G. P. of four terms be a, ar, ar^2, ar^3.

Number of terms in G. P., n = 4

Common ratio = r

Sum of first two terms, a + ar = 8

8 = a ( 1 + r ) ---> ( i )

Sum of last two terms , ar^2 +ar^3 = 72

ar^2 ( 1 + r ) = 72 ---> ( ii )

Dividing equation ( i ) and ( ii ),

1 / r ^2= 8 /72

r^2 = 72/8

r^2 = 9

r = 3

Putting value of r in Eqn ( i ),

8 = a ( 1 + 3 )

a = 8 / 4 = 2

First term of G. P., a = 2

Second term of the G. P., ar = ( 2 ) × 3 = 6

Third term of the G. P., ar^2 = ( 2 ) × 3^2 = 18

Fourth term of the G. P., ar^3 = ( 2 ) × 3^3 = 54

Series = 2, 6, 18, 54 .....

Answer 2

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