1 Q34 Sum of the first n terms of a geometric sequence lab If a geometric sequen
ID: 3117113 • Letter: 1
Question
1 Q34 Sum of the first n terms of a geometric sequence lab If a geometric sequence has the first term a and the common ratio r, then the sum denoted by geometric series S, and is equal to cops all-rs), where r bift Your final answers must be a decimal number. 6 points each a. Calculate Ss for the following geometric sequence: 1 , 1.2, 1.44, 1.728,. b. Calculate Se for the following geometric sequence: 2,6.4,20.48 65.536,.. c. Calculate Ss for the following geometric sequence: 3, 8.1,21.87, 59.049. 133Explanation / Answer
a) 1 , 1.2 , 1.44 , 1.728
a1 = 1
r = 1.2
S5 = 1 ( 1 - 1.2^5 ) / ( 1 - 1.2)
S5 = 7.4416
b) a1 = 2
r = 3.2
S6 = 2 ( 1 - 3.2^6 ) ( 1 - 3.2)
S6 = 975.21984
c) 3 , 8.1 , 21.87 , 59.049
a1 = 3
r = 2.7
S5 = 3 ( 1 - 2.7)^5 / (1 - 2.7 )
S5 = 251.4513
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