Which is the 10th term to the geometric sequence 2/9,2/3,2,...?
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
Formula Used :
an = ar^n-1
Where a = first term = 2/9
r = common ratio = a2/a1 = 2/3/2/9
= 2/3 × 9/2
= 3
n = Number of terms = 10
a10 = 2/9 × 3^10-1
a10 = 2/9 × 3^9
a10 = 2/9 × 19,683
a10 = 4374
Hence, 10th term of geometric sequence is 4374.