Answer:
∴a
1
=53,a
3
=23,a
4
=8,a
5
=−7
Explanation:
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Question
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Find the respective terms for the following APs
a
2
=38,a
6
=−22 find a
1
,a
3
.a
4
,a
5
Medium
Solution
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a
2
=38 a
6
=−22
a
2
=a+d=38 ...........(1)
a
6
=a+5d=−22 .......(2)
Equation (1)-(2), gives
−4d=60
⇒d=15
Sunstitutue d=15 in Equation (1)
a+(−15)=38
⇒a=53
∴a
3
=a+2d=53+2(−15)=23
∴a
4
=a+3d=53+3(−15)=8
∴a
5
=a+4d=53+4(−15)=−7
∴a
1
=53,a
3
=23,a
4
=8,a
5
=−7