What are the 10th term of a1=1/11, a3=1/3
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Answered by
0
Answer:
25/11
Step-by-step explanation:
given
a1=1/11, a3=1/3
a3=a1+2d, where d is the common difference
1/3=1/11+2d
2d=1/3-1/11=8/33
d=4/33
a10=a1+9d
a10=1/11+9*8/33
a10=25/11
Answered by
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a1=1/11
a3= 1/3
a1=a+d = 1/11 ————> 1
a3=a+2d = 1/3 ————> 2
equation (2) — equation (1)
a+d-(a+2d)=1/3–1/11
d-2d =11-3/33
-d=8/33
d=-8/33
Substitute d value in equation(1)
a+d=1/11
a—8/33=1/11
a=8-3/33
a=5/33
a10=a+9d
a10=5/33+9(-8/33)
a10= -67/33.
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a3= 1/3
a1=a+d = 1/11 ————> 1
a3=a+2d = 1/3 ————> 2
equation (2) — equation (1)
a+d-(a+2d)=1/3–1/11
d-2d =11-3/33
-d=8/33
d=-8/33
Substitute d value in equation(1)
a+d=1/11
a—8/33=1/11
a=8-3/33
a=5/33
a10=a+9d
a10=5/33+9(-8/33)
a10= -67/33.
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