The next two numbers of the geometric sequence will be 27 , 81.
Geometric Sequence or Geometric Progression is defined as a sequence where every term is multiplied by a constant fixed number to get the next term except the first term.
For Example ; 2,6,18,54,..... This is a Geometric sequence as every next term except the first term is multiplied with 3.
Geometric Sequence is denoted by
Its general term is denoted by , where a is the first term
r is the common ratio
n is the number of term in the sequence.
According to the given question
given the first two term = 3,9
So a=3 …..(1)
next we need common ratio "r" for this we divide second term by first term .
that is .
r=9/3
r=3.
The next term of the sequence will be third and fourth term i.e. .
( using general formula for GP)
Substituting the value as a=3 and r=3
Now
Substituting the value as a=3 and r=3
Therefore , The next two numbers of the geometric sequence will be 27 , 81.
learn more about Geometric Sequence here brainly.com/question/16549240
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