16. For what value of , are the nth terms of two AP
16. Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12
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Step-by-step explanation:
In an AP:
A3=a+2d=16------(1)
a7-a5=12
a+6d-(a+4d)=12
a+6d-a-4d=12
2d=12
d=6.--------(2)
(2) in (1):
a+2(6)=16
a=16-12=4.
Therefore, the AP is 4,10,16,22..........
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