Sequences and series

Practice sheet

Fresh questions from the whole chapter, to do on paper.

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  1. How many terms does ∑k=317(2k+1)\displaystyle\sum_{k=3}^{ 17 } (2k + 1) have?
  2. Find ∑k=130(3k+7)\displaystyle\sum_{k=1}^{ 30 } (3k + 7).
  3. Find 1+2+3+⋯+941 + 2 + 3 + \dots + 94.
  4. Find the sum of the first 6 terms of the geometric sequence with a1=8a_1 = 8 and ratio 3.
  5. Find ∑k=062k\displaystyle\sum_{k=0}^{ 6 } 2^k.
  6. You put 764 dollars in a savings account at the end of each year, at 5 % interest a year. How much is in the account right after the 12th payment? Round to the nearest cent.