in an ap given a=10, d=4, nth term is 38 then find n and Sn
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Step-by-step explanation:
a=10 d=4 Tn=38
Tn=a+(n-1)d
=>38=10+(n-1)4
=>38=10+4n-4
=>4n+6=38
=>4n=32
=>n=8
Sn=n/2{2a+(n-1)d}
=8/2{2×10+(8-1)4}
=4(20+28)
=4×48
=192
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