It is known that in geometric progression the second and third terms are equal to 6 and 18
| April 1, 2021 | education
It is known that in geometric progression the second and third terms are equal to 6 and 18, respectively, which is equal to 1 member of this progression.
Let’s use the formula to find in geometric progression any of its members:
bn = b1 * q ^ n-1,
q is the denominator of a geometric progression,
b3 = b2 * q,
q = b3: b2.
Substitute the data for the value condition and get:
q = 18: 6 = 3.
Let’s find the first term of this geometric progression:
b1 = b2: q,
b1 = 6: 3,
b1 = 2.
Answer: the first member of this progression is b1 = 2.
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