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Use the Formula for the General Term of a Geometric a1\mathbf { a } _ { 1 }

Question 84

Multiple Choice

Use the Formula for the General Term of a Geometric SequenceUse the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the
sequence with the given first term, a1\mathbf { a } _ { 1 } , and common ratio, r.
- 0.007,0.14,2.8,56,0.007,0.14,2.8,56 , \ldots


A) an=0.007(20) n1\mathrm { a } _ { \mathrm { n } } = 0.007 ( 20 ) ^ { \mathrm { n } - 1 }
B) an=7(0.2) n\mathrm { a } _ { \mathrm { n } } = 7 ( 0.2 ) ^ { \mathrm { n } }
C) an=7(20) n\mathrm { a } _ { \mathrm { n } } = 7 ( 20 ) ^ { \mathrm { n } }
D) an=0.07(20) n1\mathrm { a } _ { \mathrm { n } } = 0.07 ( 20 ) ^ { \mathrm { n } - 1 } The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.

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