Problem

Find the common ratio and write out the first four terms of the geometric sequence 2n36

Common ratio is
a1=,a2=,a3=,a4=

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Answer

The common ratio is 2 and the first four terms of the geometric sequence are 124,112,16, and 13

Steps

Step 1 :The common ratio of a geometric sequence is the ratio between any term and the previous term. In this case, the common ratio is 2, because each term is multiplied by 2 to get the next term.

Step 2 :The first four terms can be found by substituting n=1, n=2, n=3, and n=4 into the formula for the nth term.

Step 3 :Let's calculate these values. For n=1, a1=2136=124. For n=2, a2=2236=112. For n=3, a3=2336=16. For n=4, a4=2436=13.

Step 4 :The common ratio is 2 and the first four terms of the geometric sequence are 124,112,16, and 13

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