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Maths Gcse Edexcel Foundation

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  26. Graphs-Of-Functions Edexcel Foundation
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Exam code:1MA1

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%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAADxjdnQgDVUNBwAAAVgAAAA6Z2x5ZoPi2VsAAAGUAAAAy2hlYWQQC2qxAAACYAAAADZoaGVhCGsXSAAAApgAAAAkaG10eE2rRkcAAAK8AAAADGxvY2EAHTwYAAACyAAAABBtYXhwBT0FPgAAAtgAAAAgbmFtZaBxlY4AAAL4AAABn3Bvc3QB9wD6AAAEmAAAACBwcmVwa1uragAABLgAAAAUAAAD

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