Learning Task 1: Complete the table below by supplying the missing term, common ...

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Learning Task 1: Complete the table below by supplying the missing term, common difference and rule for each number sequence. Write your answer on a separate sheet of paper. Supply the missing term Common Difference Rule for the nth term 26 1) 6, 10, 14, 18, 2) 12,21. 39, 48, 57 3) _, 27, 34, 41, 48 Tere then write

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$\large\underline{\mathbb{SOLUTION}:}$

1. Supply the missing term

$\: \: • \: \sf{18 + 4 = } \: \boxed{ \sf{22}}$

Common Difference

$\: \: • \: \sf{10 - 6 =} \: \boxed{ \sf{4}}$

$\: \: • \: \sf{14 - 10 = } \: \boxed{ \sf{4}}$

$\: \: • \: \sf{18 - 14 = } \: \boxed{ \sf{4}}$

Rule for the nth term

$\: \: • \: \boxed{\sf{4n + 2}}$

2. Supply the missing term

$\: \: • \: \sf{21 + 9 = } \: \boxed{ \sf{30}}$

Common Difference

$\: \: • \: \sf{21 - 12 = } \: \boxed{ \sf{9}}$

Rule for the nth term

$\: \: • \: \boxed{\sf{9n + 3}}$

3. Supply the missing term

$\: \: • \: \sf{27 - 7 = } \: \boxed{ \sf{20}}$

Common Difference

$\: \: • \: \sf{34 - 27 = } \: \boxed{ \sf{7}}$

Rule for the nth term

$\: \: • \: \boxed{\sf{7n + 13}}$

$\large\underline{\mathbb{ANSWER}:}$

$\tiny{\begin{gathered}\begin{array}{|c|c|c|}\hline{\bold{Supply \: the \: missing \: term}} & {\bold{Common\:Difference}}&{\bold{Rule\:for\:the\:nth\:term}}\\\hline{\sf{1.\:6,10,14,18,22,26}}&{\sf{4}}&{\sf{4n+2}}\\\hline{\sf{2.\:12,21,30,39,4857}}&{\sf{9}}&{\sf{9n+13}}\\\hline{\sf{3.20,27,34,41,48}}&{\sf{7}}&{\sf{7n+13}}\\\hline\end{array}\end{gathered}}$

$\large\underline{\mathbb{NOTE}:}$

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