Question

find the sum of first 8 terms of G.P 2+6+18+56​

Answer 1

Step-by-step explanation:

As the relationship between these four numbers is,

2 + 4(1) = 6

6 + 4(3) = 18 = 2 + 4(1) + 4(3)

18 + 4(9) = 54 = 2 + 4(1) + 4(3) + 4(9)

54 + 4(27) = 162 and so on

162 + 4(81) = 486

486 + 4(243) = 1458

1458 + 4( 729) = 4374

Hence,

8th term would be,

2 + 4(1) + 4(3) + 4(9) + 4(27) + 4(81) + 4(243) + 4(729) = 4374.

hope this is helpful