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Arithmetic and Geometric Sequences Review for Test

This review guide covers finding explicit and recursive formulas for arithmetic and geometric sequences, identifying sequence types, and calculating series sums.

stephen-hunter
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Arithmetic and Geometric Sequences Review for Test

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  1. Review for the Test • Find both an explicit formula and a recursive formula for the nth term of the arithmetic sequence • 3, 9, 15,……… • Explicit Formula ______________________________ • Recursive Formula ______________________________ • 10, 8, 6,…….……… • Explicit Formula ______________________________ • Recursive Formula ______________________________

  2. Find both an explicit formula and a recursive formula for the nth term of the Geometric sequence 5, 10, 20,……… • Explicit Formula _________________ • Recursive Formula _________________ • 54,18,6,…… • Explicit Formula ___________________ • Recursive Formula _________________

  3. Recognize and use simple arithmetic and geometric sequences. • Tell whether the sequence is geometric, arithmetic, or neither. Circle your answer. • 84, 42, 21,………. • a. arithmetic b. geometric c. neither • Tell whether the sequence is geometric, arithmetic, or neither. • 2.5, 3.7, 4.9,………………. • a. arithmetic b. geometric c. neither

  4. Find first five consecutive terms of the sequence given a1=4 and an=an-1+5 Find the sixth term of a geometric sequence with a first term of 5 and a common ratio of 3 Find the 5thterm for arithmetic sequence with a first term -24 and common difference of 2

  5. Determine the common ratio, and find the next three termsof each geometric sequence. • 3m, 9m, 27m, ________, ________, ________ •  Determine the common difference and find the next four termsof the sequence • -8,-6,-4, _______, ________, ________, _________

  6. Find the indicated sum of each arithmetic series: • 40th partial sum of 148+157+166 +………. • Find the sum of the geometric series described: • The sum of first six terms of 5 + 10 + 20 + …

  7. Find the sum of the geometric series described a1=2 an=4374 r=3 Find the sum of first 8 terms of geometric seris 128+64+32+…….

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