Directions: Copy and complete the table. Identify the first term (a1), common ratio ((), number of terms (n), and the last term (an), and determine whether the sequence is finite or infinite. (Please write your answer in your Mathematics activity notebook. Sequence First term (a) Common Number ratio (0) of terms (n) Last term (an) Finite or Infinite 1.5, 10, 20, 40,... 2. 1,7,49,343,2 401 3. 2,16,128,1 024, 4. 162, 54, 18, 6, 2, 5. 1029, 147, 21,
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ANSWER :
1. 5, 10, 20, 40
First Term: 5
Common Ratio: 2
Number Of Terms: N
Last Term: AN = 5•2^n-1
Finite Or Infinite: Infinite
2. 1, 7, 49, 343, 2401
First Term: 1
Common Ratio: 7
Number Of Terms: 4
Last Term: 2401
Finite Or Infinite: Finite
3. 2, 16, 128, 1024
First Term: 2
Common Ratio: 8
Number Of Terms: N
Last Term: AN = 2•8^n-1
Finite Or Infinite: Infinite
4. 162, 54, 18, 6, 2
First Term: 162
Common Ratio: ⅓
Number Of Terms: N
Last Term: AN = 162•(⅓)^n-1
Finite Or Infinite: Infinite
5. 1029, 147, 21, 3
First Term: 1029
Common Ratio: 1/7
Number Of Terms: 4
Last Term: 3
Finite Or Infinite: Finite