Geometric progressions (GP) are set of sequence of numbers in which each succeeding number is the product of its previous or preceding number by a constant non-zero called as the common ratio which is denoted by r. The common ratio (r) is calculated by dividing any number in a sequence by the previous or preceding number.
r ≠ 0
Find the 8th term in the Geometric Progression 1, 3, 9…
a1 = 1, a2 =3, a3=9 and an = 8
Now by applying the formula: r = a2 / a1
We get – 3/1=3.
a8 = a1 r8-1
= (1) (3)7
a8 = 2187
Practice problems on Geometric Progressions through solved RD Sharma solutions to have a better understanding of the topic.