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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 ______________________________

Find both an explicit formula and a recursive formula for the nth term of the Geometric sequence 5, 10, 20,……… Explicit Formula _________________ Recursive

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Page 1: Find both an explicit formula and a recursive formula for the nth term of the Geometric sequence 5, 10, 20,……… Explicit Formula _________________ Recursive

Review for the TestFind 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 ______________________________

Page 2: Find both an explicit formula and a recursive formula for the nth term of the Geometric sequence 5, 10, 20,……… Explicit Formula _________________ Recursive

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 _________________

Page 3: Find both an explicit formula and a recursive formula for the nth term of the Geometric sequence 5, 10, 20,……… Explicit Formula _________________ Recursive

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

Page 4: Find both an explicit formula and a recursive formula for the nth term of the Geometric sequence 5, 10, 20,……… Explicit Formula _________________ Recursive

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 5th term for arithmetic sequence with a first term -24 and common difference of 2

Page 5: Find both an explicit formula and a recursive formula for the nth term of the Geometric sequence 5, 10, 20,……… Explicit Formula _________________ Recursive

Determine the common ratio, and find the next three terms of each geometric sequence.

3m, 9m, 27m, ________, ________, ________

 Determine the common difference and find the next four terms of the sequence

-8,-6,-4, _______, ________, ________, _________

Page 6: Find both an explicit formula and a recursive formula for the nth term of the Geometric sequence 5, 10, 20,……… Explicit Formula _________________ Recursive

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 + … 

Page 7: Find both an explicit formula and a recursive formula for the nth term of the Geometric sequence 5, 10, 20,……… Explicit Formula _________________ Recursive

Find the sum of the geometric series describeda1=2 an=4374 r=3

Find the sum of first 8 terms of geometric seris

128+64+32+…….

Page 8: Find both an explicit formula and a recursive formula for the nth term of the Geometric sequence 5, 10, 20,……… Explicit Formula _________________ Recursive