The third term, fourth term and tenth term are -1, -3, -15 respectively.
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What is a sequence?</h3>
A sequence is a pattern of numbers in which successive terms differ by an constant term called the common difference or ratio.
Analysis:
For a sequence defined by the rule A(n) = 3 + (n-1)(-2)
Third term, n = 3
A(3) = 3 + (3-1)(-2) = -1
Fourth term, n = 4
A(4) = 3 + (4-1)(-2) = -3
Tenth term, n = 10
A(10) = 3 + (10-1)(-2) = -15
In conclusion, the third, fourth, tenth terms are -1, -3 and -15 respectively.
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When the denominator is zero, you divide by zero so the roots of that polynomial are excluded. They are x=-5 and x=-2, as can be found using the abc quadratic formula or by factoring.
If you factor numerator and denominator you can rewrite as:
6y+2+10y+8
the like terms are 6y and 10y
combining them you get 16y
the answer is: d. 16