18. Which term of G.P: , 1/x^4,1/x^3,1/x^2,...
- - is 1
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Step-by-step explanation:
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11th
Maths
Sequences and Series
General Term of a G.P
The next term of the geomet...
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Asked on December 26, 2019 by
Susmita Shrivastwa
The next term of the geometric progression x,x
2
+2,x
3
+10 is _______
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ANSWER
x,x
2
+2,x
3
+3....
If in GP
(x
2
+2)
2
=(x
3
+10)x
x
4
+4+4x
2
=x
4
+10x
4x
2
−10x+4=0
2x
2
−5x+2=0
2x
2
−4x−x+2=0
2x(x−2)−1(x−2)=0
(2x−1)(x−2)=0
x=
2
1
,2
2,6,18.......
a=2
r=3
∴ Next term is 18×3=54
Answered by
0
Answer:
Step-by-step explanation:
n th term of GP = ar^(n-1)
here a =1/x^4
r = x
so
1= 1/x^4 (x)^(n-1)
1= x^(n-1-4)
1=x^(n-5)
anything to the power of zero is 1
so 0=n-5
hence n=5
5th of the GP is 1
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