Fernandez Conner
08/09/2023 · Middle School
QUESTION 3 3.1 The fourth, fifth and sixth terms of a geometric sequence are respectively. Determine (a) the possible values for \( x \). (b) the value for the first term in the sequence if \( x>0 \) (1 \( \mathrm{e} x \) is positive). 3.2 The first term of an arthmetic sequence is 10 and the sıxth term is 85 . Find the first three terms of the sequence.
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### Question 3.1
#### (a) The possible values for \( x \)
The possible values for \( x \) are all non-zero real numbers.
#### (b) The value for the first term in the sequence if \( x > 0 \)
If \( x > 0 \), the first term of the sequence is \( a_1 = \frac{1}{x^2} \).
### Question 3.2
The first three terms of the arithmetic sequence are 10, 25, and 40.
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