In an A.P the 11th term is 37, and the 31st term is 117. Find the 51st term of the same A.P.
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In an A.P the 11th term is 37, and the 31st term is 117. Find the 51st term of the same A.P.
197
Answered by
1
Answer:
51st term of A. P. =197
Step-by-step explanation:
11th term of A.P = a+10d=37---------eq1
31st term of A.P = a+30d=117--------eq2
from 1 and 2
a+10d=37---------1
a+30d=117---------2
-20d= -80
d=4-------------putting in 1
a+10*4=37
a+40=37
a= -3
51st term of A.P = a+50d
= -3+50*4
= -3+200
51st term of A.P = 197
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