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A linear sequence is as follows: a+b, a+3b, a+5b .... The 2nd term is equal to 15. The 6th term is 47. What is the value of a? What is the value of b? Show your working.

a+3b = 15, a+11b=47 , use simultaneous equations to get 8b = 32 therefore b=4 and a=3.

LR
Answered by Liam R. Maths tutor
4146 Views

What is the integral of 2x^5 - 1/4x^3 - 5

Integrating is essentially the opposite of differentiating.xn --> xn+1 We add 1 to the power and re-introduce variables where they have been eliminated potentially k --> kxWe m...

JS
Answered by Joshua S. Maths tutor
3241 Views

Solve the following simultaneous equations: 2y = 8x + 6 // x = 3y + 7

First we must try to write y as a function of x, in this case it means halving the first equation so that we find that y = 4x + 3. Once we have dicovereved this. We can now write the y in our second ...

AH
Answered by Andrew H. Maths tutor
2869 Views

The formula to convert from degrees Fahrenheit to degrees Celsius is C=(F-32)*(5/9). If it is 32 degrees Celsius, what is the temperature in Fahrenheit?

This question involves rearranging the equation to make F, the temperature in Fahrenheit, the subject of the formula. We'll start by writing out the original formula, and then we will move the elements of...

SB
Answered by Sarah B. Maths tutor
10397 Views

i) Factorise x^2 – 7x + 12 ii) Solve x^2 – 7x + 12

i)STEP 1: Make 2 brackets and put an x in each one: (x )(x )
STEP 2: Find 2 numbers when multiplied together make 12 and when added together they make -7
Multiples of 12:
1 x ...

HC
Answered by Hashir C. Maths tutor
3622 Views

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