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In this lesson, we will learn how to expand an expression written using sigma notation and how to use it to express the sum of a sequence of terms that follow a rule.
Q1:
Express the series ( 3 2 × 3 3 ) + ( 3 3 × 3 4 ) + ( 3 4 × 3 5 ) + ⋯ in sigma notation.
Q2:
Express the series 5 4 × 1 2 + 5 4 × 2 4 + 5 4 × 3 6 + ⋯ + 5 4 × 2 4 0 in sigma notation.
Q3:
Express the series 8 + 3 2 + 7 2 + 1 2 8 + ⋯ + 5 1 2 in sigma notation.
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