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I struggle with the following type of question: "The first four terms of an arithmetic sequence are 5, 9, 13, 17. Write down an expression, in terms of n, for the nth term in the sequence." How should I approach this?

The way I would suggest approaching a question like this is to imagine n=1, n=2, n=3 and n=4 above the terms given, or even to literally write that above each of the 4 given numbers. n ---------- 1 2 3 4resu...
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Answered by William S. • Maths tutor
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Study Figure 2 showing the Demographic Transition Model. Explain why death rates started to fall at the beginning of Stage 2. You should refer to two reasons in your answer.

During stage 2 of the DTM, death rates started to fall due to advancements in healthcare. Vaccinations had been discovered and so programmes were introduced to inoculate babies against diseases such as small...
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Answered by Joshua E. • Geography tutor
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√3(√30 + √8) can be simplified into the follwing format: x√10 + y√6 where are x and y are integers. Find the value of x and y.

Begin by expansion (√a x √b = √ab): √3 x √30 = √90 and √3 x √8 = √24. Therfore we have: √90 + √24. Simplify roots (√a^2√b). The question tells us we need x√10 so therefore √90 = √9√10 (9x10 = 90) and we need...
HD
Answered by Holden D. • Maths tutor
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Sodium and chlorine form an ionic compound. Describe what happens when 1 atom of sodium reacts with 1 atom of chlorine.m

When sodium reacts with chlorine, the sodium atom transfers 1 electron to the chlorine atom, in order to achieve a stable electron configuration resembling a noble gas. The sodium (Na) atom becomes a sodium ...
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Answered by Patrick C. • Chemistry tutor
6303 Views

P has coordinates (3,4), Q has coordinate (a,b), a line perpendicular to PQ has equation 3x+2y=7. Find an expression for b in terms of a

Rearrange the equation of the line perpendicular to PQ to give y = -(3/2)x + 7/2. Gradient of this line = -3/2Using the knowledge that the gradients of a line perpendicular to another line is related by a fa...
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Answered by Jack L. • Maths tutor
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