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State the nth term of the following sequence: 3, 7, 11, 15, 19

First we look at the jump between each term:7-3=4, 11-7=4, 15-11=4, 19-15=4So we know that the difference in each step is 4. So our expression with look like 4n+d for some number d.Comparing what we have wit...
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Answered by Huw D. Maths tutor
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The equation (k+3)x^2 + 6x + k =5 has two distinct real solutions for x. Prove that k^2-2k-24<0

We argue using the discriminant of a quadratic polynomial. For a quadratic ax^2 + bx + c=0, the discriminant D is D = b^2 - 4ac. When this quadratic has two distinct real roots, we have that D &gt; 0. So we ...
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Answered by Huw D. Maths tutor
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I don't understand why the function "f(x)=x^2 for all real values of x" has no inverse. Isn't sqrt(x) the inverse?

I don't understand why the function &quot;f(x)=x^2 for all real values of x&quot; has no inverse. Isn't sqrt(x) the inverse? I like to think of a function a bit like a machine. It takes in a number, and turn...
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Answered by Benjamin M. Maths tutor
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What is the central dogma of molecular biology?

It explains the flow of information in biological systems, especially in eukaryotes. It can be simplified to &quot;DNA makes RNA makes protein&quot;. This explains how DNA, which is passed down the generatio...
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Answered by Kalyan M. Biology tutor
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Is breaking the law always immoral? Discuss.

Most importantly, answers to essay questions in the LNAT need to be relevant and well-written. These are the qualities of a good lawyer. The answer to this question should therefore demonstrate a balanced ap...
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Answered by Beatrice W. LNAT tutor
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