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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. 133

Explanation / 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