Answer:
1) not diverges
2)not diverges
3) diverges
4)not diverges
Step-by-step explanation:
In geometric series, If the |r|<1 then the series is convergent and if |r|>1 then the series is divergent
Where r is the ratio between the consecutive terms of series.
1) 3/5 + 3/10 +3/20 + 3/40 ......
in the above geometric series
r= (3/10) / (3/5)
= 1/2
= 0.5
As |r|= 0.5 < 1, so the series will not diverge
2) -10+4-8/5 + 16/25 -......
in the above geometric series
r= (4) / (-10)
= -2/5
= -0.4
As |r|= 0.4 < 1, so the series will not diverge
3) ∑ 2/3(-4)^(n-1)
in the above geometric series
r= -4
As |r|= |-4| = 4 > 1, so the series will diverge
4) ∑ (-12)(1/5)^(n-1)
in the above geometric series
r=1/5
= 0.2
As |r|= 0.2 < 1, so the series will not diverge !
(c)*(d)=8*30+8*4=8*34,=>
c=8
d=34
a+b>a-b, =>a+b=d, a-b=c; =>
{a+b=34
{a-b=8, =>a=b+8 ;
(b+8)+b=34
2b=34-8
b=13
a=13+8=21
Answer: a=21; b=13; c=8; d=34.
16, 64
8 isn’t a perfect square because no whole number can be multiplied by itself twice to get 8. You can multiply 4 and 4 together and get 16z. You can multiply 8 and 8 together to get 64.
Answer:
Y=(x+4)*2-3
=x*2+8x+16-3
=x*2+8x+13
So the standard form is B