2 Answers
a5 = 48
a17 = 196,608
a32 = ?
Geometric Formula: an = a1*r^n-1
a1 = 1st term
r = common ratio
n = sequence term you're finding
Write two equations using the 5th and 32nd terms from the formula.
Equation 1:
a5 = [ a1*r^5-1 = 48]
a5 = a1*r^4 = 48
Equation 2:
a17 = [ a1*r^17-1 = 196,608 ]
a17 = a1*r^16 = 196,608
Divide equation 2 by equation 1 to find common ratio.
a1*r^16 = 196,608 / a1*r^4 = 48
r^12 = 4096
r = +-2
Find the 1st term using either equation.
a1*r^4 = 48
16a1/16 = 48/16
a1 = 3
Now, find the 32nd term. There will be two answers.
an = a1*r^n-1
a32 = 3*2^32-1
a32 = 3(2)^31
a32 = 3(2,147,483,648)
a32 = 6,442,450,944
a32 = 3*-2^32-1
a32 = 3(-2)^31
a32 = 3(-2,147,483,648)
a32 = -6,442,450,944
Check: an = a1*r^n-1 > common ratio is +-2
a1 = 3
a1 = 3(2)^1-1
a1 = 3(2)^0
a1 = 3(1)
a1 = 3
a1 = 3(-2)^1-1
a1 = 3(-2)^0
a1 = 3(1)
a1 = 3
a5 = 48
a5 = 3(2)^5-1
a5 = 3(2)^4
a5 = 3(16)
a5 = 48
a5 = 3(-2)^5-1
a5 = 3(-2)^4
a5 = 3(16)
a5 = 48
a17 = 196,608
a17 = 3(2)^17-1
a17 = 3(2)^16
a17 = 3(65,536)
a17 = 196,608
a17 = 3(-2)^17-1
a17 = 3(-2)^16
a17 = 3(65,536)
a17 = 196,608
chelleanne
a17 = 196,608
a32 = ?
Geometric Formula: an = a1*r^n-1
a1 = 1st term
r = common ratio
n = sequence term you're finding
Write two equations using the 5th and 32nd terms from the formula.
Equation 1:
a5 = [ a1*r^5-1 = 48]
a5 = a1*r^4 = 48
Equation 2:
a17 = [ a1*r^17-1 = 196,608 ]
a17 = a1*r^16 = 196,608
Divide equation 2 by equation 1 to find common ratio.
a1*r^16 = 196,608 / a1*r^4 = 48
r^12 = 4096
r = +-2
Find the 1st term using either equation.
a1*r^4 = 48
16a1/16 = 48/16
a1 = 3
Now, find the 32nd term. There will be two answers.
an = a1*r^n-1
a32 = 3*2^32-1
a32 = 3(2)^31
a32 = 3(2,147,483,648)
a32 = 6,442,450,944
a32 = 3*-2^32-1
a32 = 3(-2)^31
a32 = 3(-2,147,483,648)
a32 = -6,442,450,944
Check: an = a1*r^n-1 > common ratio is +-2
a1 = 3
a1 = 3(2)^1-1
a1 = 3(2)^0
a1 = 3(1)
a1 = 3
a1 = 3(-2)^1-1
a1 = 3(-2)^0
a1 = 3(1)
a1 = 3
a5 = 48
a5 = 3(2)^5-1
a5 = 3(2)^4
a5 = 3(16)
a5 = 48
a5 = 3(-2)^5-1
a5 = 3(-2)^4
a5 = 3(16)
a5 = 48
a17 = 196,608
a17 = 3(2)^17-1
a17 = 3(2)^16
a17 = 3(65,536)
a17 = 196,608
a17 = 3(-2)^17-1
a17 = 3(-2)^16
a17 = 3(65,536)
a17 = 196,608
9 years ago. Rating: 3 | |
I'm refreshing my memory by looking at these kids math homework. Tell your son that he can find math help by going on YouTube. Math tutors/teachers put up videos with math problems and explanation on solving for all types of math problems.
Top contributors in Uncategorized category
Unanswered Questions
Trang chủ Go88 chính thức | Link Tải Go88 | Tặng Code 50k
Answers: 0
Views: 9
Rating: 0
Where to Watch Skam Show Online?
Answers: 0
Views: 13
Rating: 0
TDTC - THIÊN ĐƯỜNG TRÒ CHƠI ĐỔI THƯỞNG TDTC06G.COM?
Answers: 0
Views: 9
Rating: 0
OK9: Điểm Đến Lý Tưởng Cho Những Ai Yêu Thích Cá Cược Trực Tuyến
Answers: 0
Views: 9
Rating: 0
789WINVN - Trang chủ nhà cái 789WIN
Answers: 0
Views: 10
Rating: 0
789WINVN - Trang chủ nhà cái 789WIN
Answers: 0
Views: 8
Rating: 0
789WINVN - Trang chủ nhà cái 789WIN
Answers: 0
Views: 4
Rating: 0
J88 Company
> More questions...
Answers: 0
Views: 11
Rating: 0
Your knowledge of math is amazing. My son is starting college in a couple of months and he's dreading the math course because he always had so much trouble understanding math.