5. In an A.P. A1, A2, a3,... A11..., if a1 = 1, an, = 20 and Sn = 399, then the value of n is
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2
Answer:
Correct option is
C
38
We know that S
n
=
2
n
[2a+(n−1)d]
⇒S
n
=
2
n
[a+a+(n−1)d]
⇒399=
2
n
[a+a
n
] [a
n
= last term]
⇒399=
2
n
[1+20]
⇒n=
21
399×2
=38
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