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The sixth term of an arithmetic sequence is 8 and the sum of the first 15 terms is 60. Find the common difference and list the first three terms.

Formulae to be used: n th term of an arithmetic sequence u n = u 1 + (n-1)d and sum of the first n terms of an arithmetic series S n = (n/2) * (2u 1 + (n-1)d) Substitute known values: u 1 + 5d = 8(15/2) * (2...
BC
Answered by Bence C. • Maths tutor
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What should I be talk about in my personal statement for medicine/dentistry? How should I order it? What needs to stand out?

Medicine and dentistry are very competitive courses with limited spaces, so the application process can be very long and frustratingly hard but I will take the student through every process that I did using ...
ZA
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solve 3 cos (2y )- 5 cos( y)+ 2 =0 where 0<y<360 degrees

cos(2y)= (cos(y))^2 - (sin(y))^2 identitynow consider identity (cos(y))^2+(sin(y))^2=1by rearranging this to (cos(y))^2 - 1 = - (sin(y))^2 we can now substitute it into our first identity to obtaincos(2y)= 2...
LS
Answered by Leah S. • Maths tutor
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Solve the Equation: 2ln(x)−ln (7x)=1

This is an equation laid out in terms of the natural logarithm, which essentially is the reverse function of e x . From this equation we need to find a solution for x =? Since we know that this equation invo...
DG
Answered by Dhruv G. • Maths tutor
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How do earthquakes occur?

Earthquakes are caused by the breakage of underground, crustal rock largely close to or near plate boundaries. It should also be noted that the breakage of rock occurs along a fault line, which is a long cra...
LH
Answered by Lauren H. • Geography tutor
5991 Views