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Find the 16th term in the following sequence: 3, 5, 7, 9, 11

First find the nth term of the sequence. Start by finding the difference between each term:

3, 5, 7, 9, 11 - the difference between each is 2 therefore it is 2n but this alone gives the sequence: 2...

KS
Answered by Kate S. Maths tutor
11333 Views

The mass, m grams, of a substance is increasing exponentially so that the mass at time t hours is m=250e^(0.021t). Find the time taken for the mass to double in value.

All exponential equations can be reduced to the form m=m0ekt, where m0 is the initial mass. This means for our equation the initial mass is 250g. If the mass has doubled i...

TJ
Answered by Tom J. Maths tutor
7988 Views

How can I determine the stationary points of a curve and their nature?

For example, y = 3x3 + 9x2 + 2. Determine the stationary points and their nature.

Let's remind ourselves what a stationary point is, and what is meant by the ...

TD
Answered by Tutor87017 D. Maths tutor
144504 Views

Find all the solutions of 2 cos 2x = 1 – 2 sinx in the interval 0 ≤ x ≤ 360°.

We know that having cos and sin functions in a question is going to cause us problems - we need a single function of x. So, step 1, we need to rewrite sin or cos in terms of the other. How do we choose wh...

NH
Answered by Nicola H. Maths tutor
22314 Views

How do you expand (2x-1)(3x+4) using the FOIL method?

First, we must understand what the FOIL method is.

FOIL is an ancronym that we use to help us remember the steps when expanding brackets.

F - first 

O - outer

I - inner 

JL
Answered by James L. Maths tutor
6170 Views

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