If x = 1, y = 7, and z = 15, determine a number that when added to x, y, and z yields consecutive terms of a geometric sequence. What are the first three terms in the geometric sequence? 3

Given:

A number is added to x, y, and z yields consecutive terms of a geometric sequence.

To find:

The number which is added to  x, y, and z, then find the first three terms in the geometric sequence.

Solution:

Let the unknown number be k.

After adding k to x, y, and z, we get

These are the consecutive terms of a geometric sequence. So,

Isolate the variable terms.

The unknown number is 17.

Now,

Similarly,

And

Therefore, the three terms in the geometric sequence are 18, 24, 32.

mr. graef told us it is 13 pints

step-by-step explanation:

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