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sutoregina
@sutoregina
July 2022
2
18
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3.(an)-арифметична прогресія:
а8+а10=15
а9-?
4.(bn)-геометрична прогресія :
b8×b10=144
b10-?
5.1+1/3+1/9+1/27....нескінченна прогресія :
S-?
6.(an ) - арифметична прогресія : а10=95
S10=500
a1-?
d-?
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Fizmat322
Ось розв'язки на фотографіях
1 votes
Thanks 1
sutoregina
Спасіба
Pacanka202
3. а1+7d+a1+9d=15
2a1+16d=15
a1+8d=7,5
a9=a1+8d=7,5
4. b1•q^7•b1•q^9=144
b1^2•q^16=144
b1•q^8=12
b9=b1•q^8=12
5. q=b2:b1=1/3:1=1/3
b1 1
S = ------ = ------ = 3/2 = 1,5
1–q 2/3
6. S10 = (a1+а10)•5=(а1+95)•5=5а1+475
5а1+475=500
5а1=500–475
5а1=25a1=5
а1+9d=95
9d=95–5
9d=90
d=10
2 votes
Thanks 1
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Answers & Comments
2a1+16d=15
a1+8d=7,5
a9=a1+8d=7,5
4. b1•q^7•b1•q^9=144
b1^2•q^16=144
b1•q^8=12
b9=b1•q^8=12
5. q=b2:b1=1/3:1=1/3
b1 1
S = ------ = ------ = 3/2 = 1,5
1–q 2/3
6. S10 = (a1+а10)•5=(а1+95)•5=5а1+475
5а1+475=500
5а1=500–475
5а1=25a1=5
а1+9d=95
9d=95–5
9d=90
d=10