What are the first term and the common ratio of the geometric sequence if the second, third and fourth terms are 2,4,8 ?
Answers
Answer:
First Term = 2 Comman Ratio = 2
Step-by-step explanation:
Comman Ratio = T2 - T1
= 4 - 2
= 2
Given : second, third and fourth terms of the geometric sequence are 2,4,8
To Find : first term and the common ratio
Solution:
Assume that geometric sequence is
a , ar , ar² , ... and so on
a =first Term
r = common ratio
aₙ = nth term = a. rⁿ⁻¹
Second term = ar = 2
Third term = ar² = 4
fourth term = ar³ = 8
ar² / ar = 4/2
=> r = 2
ar = 2
=> a(2) = 2
=> a = 1
Hence a =first Term = 1
r = common ratio = 2
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