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Maths Gcse Aqa Foundation

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  1. Scatter-Graphs-And-Correlation Aqa Foundation
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  2. Statistical-Diagrams Aqa Foundation
    6 主题
  3. Averages-Ranges-And-Data Aqa Foundation
    7 主题
  4. Tree-Diagrams-And-Combined-Probability Aqa Foundation
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  5. Simple-Probability-Diagrams Aqa Foundation
    4 主题
  6. Transformations Aqa Foundation
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  7. Vectors Aqa Foundation
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  8. Pythagoras-And-Trigonometry Aqa Foundation
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  9. Congruence-Similarity-And-Geometrical-Proof Aqa Foundation
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  10. Volume-And-Surface-Area Aqa Foundation
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  11. Circles-Arcs-And-Sectors Aqa Foundation
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  12. Area-And-Perimeter Aqa Foundation
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  13. Bearings-Scale-Drawing-Constructions-And-Loci Aqa Foundation
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  14. 2D-And-3D-Shapes Aqa Foundation
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  15. Angles-In-Polygons-And-Parallel-Lines Aqa Foundation
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  16. Symmetry-And-Shapes Aqa Foundation
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  17. Exchange-Rates-And-Best-Buys Aqa Foundation
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  18. Standard-And-Compound-Units Aqa Foundation
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  19. Direct-And-Inverse-Proportion Aqa Foundation
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  20. Ratio-Problem-Solving Aqa Foundation
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  21. Sequences Aqa Foundation
    4 主题
  22. Solving-Inequalities Aqa Foundation
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  23. Real-Life-Graphs Aqa Foundation
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  24. Graphs-Of-Functions Aqa Foundation
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  25. Linear-Graphs Aqa Foundation
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  26. Coordinate-Geometry Aqa Foundation
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  27. Functions Aqa Foundation
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  28. Forming-And-Solving-Equations Aqa Foundation
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  29. Simultaneous-Equations Aqa Foundation
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  30. Solving-Quadratic-Equations Aqa Foundation
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  31. Linear-Equations Aqa Foundation
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  32. Algebraic-Reasoning Aqa Foundation
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  33. Rearranging-Formulas Aqa Foundation
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  34. Introduction Aqa Foundation
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  35. Factorising Aqa Foundation
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  36. Expanding-Brackets Aqa Foundation
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  37. Algebraic-Roots-And-Indices Aqa Foundation
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  38. Using-A-Calculator Aqa Foundation
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  39. Exact-Values Aqa Foundation
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  40. Rounding-Estimation-And-Error-Intervals Aqa Foundation
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  41. Fractions-Decimals-And-Percentages Aqa Foundation
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  42. Simple-And-Compound-Interest-Growth-And-Decay Aqa Foundation
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  43. Percentages Aqa Foundation
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  44. Fractions Aqa Foundation
    6 主题
  45. Powers-Roots-And-Standard-Form Aqa Foundation
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  46. Types-Of-Number-Prime-Factors-Hcf-And-Lcm Aqa Foundation
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  47. Number-Operations Aqa Foundation
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Exam code:8300

Continuing sequences

How do I continue a given sequence? 

  • You can work out the first differences to see if there is a pattern

    • The first differences are the values the sequence changes by each time

  • For example

    • 4 comma space space space space space 7 comma space space space space space space 10 comma space space space space space 13
space space open parentheses plus 3 close parentheses space space open parentheses plus 3 close parentheses space space open parentheses plus 3 close parentheses

      • The first differences are all +3

      • The next term is 13 + 3 = 16

    • 6 comma space space space space space 1 comma space space space space space minus 4 comma space space space space minus 9
space space open parentheses negative 5 close parentheses space space open parentheses negative 5 close parentheses space space open parentheses negative 5 close parentheses

      • The first differences are all -5

      • The next term is -9 – 5 = -14 

    • <img alt=”2 comma space space space space space 8 comma space space space space space space 15 comma space space space space space 23
      space space open parentheses plus 6 close parentheses space space open parentheses plus 7 close parentheses space space open parentheses plus 8 close parentheses” data-mathml='<math ><semantics><mrow><mn>2</mn><mo>,</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mn>8</mn><mo>,</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mn>15</mn><mo>,</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mn>23</mn><mspace linebreak=”newline”></mspace><mo>&#160;</mo><mo>&#160;</mo><mfenced><mrow><mo>+</mo><mn>6</mn></mrow></mfenced><mo>&#160;</mo><mo>&#160;</mo><mfenced><mrow><mo>+</mo><mn>7</mn></mrow></mfenced><mo>&#160;</mo><mo>&#160;</mo><mfenced><mrow><mo>+</mo><mn>8</mn></mrow></mfenced></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“language”:”en”,”fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true}</annotation></semantics></math>’ height=”48″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2248%22%20width%3D%22134%22%20wrs%3Abaseline%3D%2223%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmn%3E2%3C%2Fmn%3E%3Cmo%3E%2C%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmn%3E8%3C%2Fmn%3E%3Cmo%3E%2C%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmn%3E15%3C%2Fmn%3E%3Cmo%3E%2C%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmn%3E23%3C%2Fmn%3E%3Cmspace%20linebreak%3D%22newline%22%2F%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmfenced%3E%3Cmrow%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E6%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfenced%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmfenced%3E%3Cmrow%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E7%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfenced%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmfenced%3E%3Cmrow%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E8%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfenced%3E%3C%2Fmath%3E–%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A’math1e187b16a932af07655c1c2eab9’%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAADxjdnQgDVUNBwAAAVgAAAA6Z2x5ZoPi2VsAAAGUAAAAy2hlYWQQC2qxAAACYAAAADZoaGVhCGsXSAAAApgAAAAkaG10eE2rRkcAAAK8AAAADGxvY2EAHTwYAAACyAAAABBtYXhwBT0FPgAAAtgAAAAgbmFtZaBxlY4AAAL4AAABn3Bvc3QB9wD6AAAEmAAAACBwcmVwa1uragAABLgAAAAUAAADSwGQAAUA

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