In this worksheet, we will practice expressing a series in sigma notation as well as expanding and evaluating series represented in sigma notation.
Q1:
Expand −2+7𝑟.
Q2:
Evaluate −8𝑟.
Q3:
Expand and then evaluate 19𝑟.
Q4:
Expand and then evaluate (2−52).
Q5:
Express the series 8+32+72+128+⋯+512 in sigma notation.
Q6:
Express the series 26+27+28+29+30+⋯+84 in sigma notation .
Q7:
Express the series 8+98+998+9,998+⋯ in sigma notation to 𝑛 terms.
Q8:
Express the series (32×33)+(33×34)+(34×35)+⋯ in sigma notation.
Q9:
Express the series 54×12+54×24+54×36+⋯+54×240 in sigma notation.
Q10:
Express the series 26+39+52+⋯+(13𝑛+13) in sigma notation.
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