Given the terms a10 = 3 / 512 and a15 = 3 / 16384 of a geometric sequence, find the exact value of the term a30 of the sequence.
1 answer:
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Answer:
x = 5 ±
Step-by-step explanation:
Given
x² - 10x + 25 = 35 ( subtract 25 from both sides )
x² - 10x = 10
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = 10 + 25
(x - 5)² = 35 ( take the square root of both sides )
x - 5 = ± ( add 5 to both sides )
x = 5 ±
That is the second option on list
