Sum of GP members

Determine the sum of the GP 30, 6, 1.2, to 5 terms. What is the sum of all terms (to infinity)?

Final Answer:

s5 =  37.488
s =  37.5

Step-by-step explanation:

a1​=30 a2​=6 a3​=1.2  r=a2​/a1​=6/30=51​=0.2 r2​=a3​/a2​=1.2/6=51​=0.2 r = r2​ a4​=a3​⋅ r=1.2⋅ 0.2=256​=0.24 a5​=a4​⋅ r=0.24⋅ 0.2=1256​=0.048  s5​=a1​+a2​+a3​+a4​+a5​=30+6+1.2+0.24+0.048=37.488
s=a1​⋅ 1−r1​=30⋅ 1−0.21​=275​=3721​=37.5

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You need to know the following knowledge to solve this word math problem:

algebraUnits of physical quantitiesGrade of the word problem

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