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€ Chrome File Edit View History Bookmarks People Window Help Sat 5.37 PM Q E WeBwork MA180BT. x Ic gg Study I Guided Solu x G geometric series formula x C X https phoenix goucher.edu M 110915/7/ Problems ncorrect Problem 1 Correct Problem 2 Problem 3 Problem 4 0.019852715 ncorrect 0.019852715 Problem 5 Problem 6 At least one of the answers above is NOT correct Problem 7 1 of the questions remains unanswered Problem 8 Problem 9 (1 pt) For each of the finite geometric series given below, indicate the number of terms in the sum and find the sum. For the value of the sum, enter an expression that gives the exact value, rather than entering an approximation A. 5 500.15) 500.15) 5 (0.15 14 Display options number of terms 15 View equations as: value of sum Images sMath B. 500.15)3 500.15)4 5(0.15) 5(0.15) Math Jax number of terms 8 OLa LaTeXMathML value of sum 019852715 Show saved answers? Yes Note: You can earn partial credit on this problem. No Preview Answers Submit Answers Apply options Your score was recorded You have attempted this problem 10 times You received a score of 50% for this attempt Your overall recorded score is 50%. You have unlimited attempts remaining. EmailExplanation / Answer
1)5+ 5*(0.15) + 5*(0.15)2+....+5(0.15)14
=5[1+ (0.15) + (0.15)2+....+(0.15)14]
number of terms =15
sum of n terms in geometric series is a(1-rn)/(1-r). where r is first term
[1+ (0.15) + (0.15)2+....+(0.15)14]=[1*(1-0.1515)/(1-0.15)]
[1+ (0.15) + (0.15)2+....+(0.15)14]=(1-0.1515)/(0.85)
5+ 5*(0.15) + 5*(0.15)2+....+5(0.15)14=5[1+ (0.15) + (0.15)2+....+(0.15)14]=5*(1-0.1515)/(0.85)
5+ 5*(0.15) + 5*(0.15)2+....+5(0.15)14=(1-0.1515)/(0.17)
B)
5*(0.15)3 + 5*(0.15)4+....+5(0.15)10
=5[(0.15)3 + (0.15)4+....+(0.15)10]
number of terms =8
sum of n terms in geometric series is a(1-rn)/(1-r). where r is first term
[(0.15)3 + (0.15)4+....+(0.15)10]=[(0.15)3*(1-0.158)/(1-0.15)]
[(0.15)3 + (0.15)4+....+(0.15)10]=[(0.15)3*(1-0.158)/(0.85)]
5*(0.15)3 + 5*(0.15)4+....+5(0.15)10=5[(0.15)3 + (0.15)4+....+(0.15)10]=5[(0.15)3*(1-0.158)/(0.85)]
5+ 5*(0.15) + 5*(0.15)2+....+5(0.15)14=(0.15)3*(1-0.158)/(0.17)
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