Question

product of 3 consecutive gp terms is 2744. find out first term

Answer 1

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Answer 2

In this problem we have to find out three consecutive geometric progression terms whose product is given and is equal to 2744.

Now, let us assume that the terms in the geometric progression are a/r, a, ar, where a is the middle term of the series and r is the common ratio of the series.

Then we have, the product of this term is ar * a * a/r = 2744

                                                                  or, a^3 = 2744

                                                                  or, a = 14

So, we can find any real number for which we will get the product. Thus, the terms be 14/r, 14, 14r where r be any real number.